Rolf Krause

http://usi.to/jky

Publications

Journal Article (109)

Riva S., Guerreiro N., Janett G., Rossinelli D., Benedusi P., Krause R., Belluzzi L. (2023) Assessment of the CRD approximation for the observer's frame RIII redistribution matrix, Astronomy & Astrophysics, 679:A87
Kopanicakova A., Kothari H., Krause R. (2023) Nonlinear Field-Split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture, Computer Methods in Applied Mechanics and Engineering, 403 (115733):115733-115733
Benedusi P., Riva S., Zulian P., Štěpán J. ., Belluzzi L., Krause R. (2023) Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres, Journal of Computational Physics, 479:112013
Kothari H., Krause R. (2022) A Generalized Multigrid Method for Solving Contact Problems in Lagrange Multiplier based Unfitted Finite Element Method, Computer Methods in Applied Mechanics and Engineering, 392:114630-114630
Gander L., Pezzuto S., Gharaviri A., Krause R., Perdikaris P., Sahli Costabal F. (2022) Fast characterization of inducible regions of atrial fibrillation models with multi-fidelity Gaussian process classification, Frontiers in Physiology:757159-757159
Benedusi P., Janett G., Riva S., Krause R., Belluzzi L. (2022) Numerical solutions to linear transfer problems of polarized radiation. III. Parallel preconditioned Krylov solver tailored for modeling PRD effects, Astronomy and Astrophysics, 664:A197
Kothari H., Krause R. (2021) A Multigrid Method for a Nitsche-based Extended Finite Element Method, International Journal of Computing and Visualization in Science and Engineering. ISSN 2702-7856
Chegini F., Kopanicakova A., Krause R., Weiser M. (2021) Efficient Identification of Scars using Heterogeneous Model Hierarchies, EP Europace, 23 (Supplement\_1):113-122
Grandits T., Effland A., Pock T., Krause R., Plank G., Pezzuto S. (2021) GEASI: Geodesic-based Earliest Activation Sites Identification in cardiac models, International Journal for Numerical Methods in Biomedical Engineering, 37 (8):e3505-e3505. ISSN 2040-7939
Pezzuto S., Prinzen F., Potse M., Maffessanti F., Regoli F. D., Caputo M. L., Conte G., Krause R., Auricchio A. (2021) Reconstruction of three-dimensional biventricular activation based on the 12-lead electrocardiogram via patient-specific modelling, EP Europace, 23 (4):640-647
Gander L., Krause R., Multerer M., Pezzuto S. (2021) Space-time shape uncertainties in the forward and inverse problem of electrocardiography, Numerical Methods in Biomedical Engineering, 37 (10):e3522-e3522
Piazzese C., M. Chiara C., Krause R., Auricchio A., Lynn W., Paola G., Gloria T., Gianluca P., Daniele A., Roberto M. L., Mauro P., Enrico G. C. (2020) 3D right ventricular endocardium segmentation in cardiac magnetic resonance images by using a new inter-modality statistical shape modelling method, Biomedical Signal Processing and Control, 58 (101866):---
Kopanicakova A., Krause R. (2020) A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture, Computer Methods in Applied Mechanics and Engineering, 360 (1):---
Zulian P., von Planta C., Vogler D., Saar M. O., Krause R. (2020) Contact between Rough Rock Surfaces Using a Dual Mortar Method, International Journal of Rock Mechanics and Mining Sciences
Gharaviri A., Bidar E., Potse M., Zeemering S., Verheule S., Pezzuto S., Krause R., Maessen J. G., Auricchio A., Schotten U. (2020) Epicardial Fibrosis Explains Increased Endo-Epicardial Dissociation and Epicardial Breakthroughs in Human Atrial Fibrillation, Frontiers in Physiology, section Computational Physiology and Medicine:68--
von Planta C., Vogler D., Xiaoqing C., Nestola M. G. C., Saar M. O., Krause R. (2020) Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators, Computational Geosciences:---
Donatelli M., Krause R., Mazza M., Trotti K. (2020) Multigrid preconditioners for anisotropic space-fractional diffusion equations, Advances in Computational Mathematics
Schädle P., Zulian P., Vogler D., Sthavishtha B. R., Nestola M. G. C., Ebigbo A., Krause R., Saar M. O., others (2019) 3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers, Computers \& Geosciences, 132:42-55
Schädle . P., Zulian P., Sthavishtha . R. B., Nestola M. G. C., Vogler D., Anozie E., Krause R., Saar M. O. (2019) 3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers, Computers & Geosciences:42-55
Bilgen C., Kopaničáková A., Krause R., Kerstin W. (2019) A detailed investigation of the model influencing parameters of the phase-field fracture approach., Accepted in GAMM Mitteilungen, 43 (2):e202000005-e202000005. ISSN 0936-7195, 1522-2608
Pizzagalli D. U., Gonzalez S. F., Krause R. (2019) A trainable clustering algorithm based on shortest paths from density peaks, Science Advances, 5 (10):---
Nestola M. G. C., Zulian P., Gaedke-Merzhäuser L., Krause R. (2019) An embedded formulation for fluid-structure interaction with contact, Computational Mechanics:submitted-submitted
Nestola M. G. C., Becsek B., Zolfaghari H., Zulian P., De Marinis D., Krause R., Obrist D. (2019) An immersed boundary method for fluid-structure interaction based on variational transfer, Journal of Computational Physics, 398:108884-108884. ISSN 00219991
Pizzagalli D. U., Latino I., Pulfer A., Palomino-Segura M., Virgilio T., Farsakoglu Y., Krause R., Gonzalez S. F. (2019) Characterization of the dynamic behavior of neutrophils following influenza vaccination, Frontiers in Immunology, 20
Favino M., Hunziker J., Caspari E., Quintal B., Holliger K., Krause R. (2019) Fully-Automated Adaptive Mesh Refinement for Media Embedding Complex Heterogeneities: Application to Poroelastic Fluid Pressure Diffusion, Computational Geosciences:---
Quaglino A., Pezzuto S., Krause R. (2019) High-dimensional and higher-order multifidelity Monte Carlo estimators, Journal of Computational Physics:300-315. ISSN 0021-9991
Zolfaghari H., Becsek B., Nestola M. G. C., Sawyer W. B., Krause R., Obrist D. (2019) High-order accurate simulation of incompressible turbulent flows on many parallel GPUs of a hybrid-node supercomputer, Computational Physics Communications, 244:132-142. ISSN 0010-4655
Kopaničáková A., Krause R. (2019) Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture., Submitted to Computer Methods in Applied Mechanics and Engineering
von Planta C., Vogler D., Chen X., Nestola M. G. C., Saar M. O., Krause R. (2019) Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators, Computational Geosciences, 23 (5):1125-1140. ISSN 1573-1499
Kopaničáková A., Tamstorf R., Krause R. (2019) Subdivision-based nonlinear multiscale cloth simulation, Accepted in SISC, SIAM JOURNAL for Scientific Computing:S433-S461
Kopanicakova A., Krause R., Tamstorf R. (2019) Subdivision-Based Nonlinear Multiscale Cloth Simulation, SIAM Journal on Scientific Computing:S433-S461
Nguyen U. C., Potse M., Vernooy K., Mafi-Rad M., Heijman J., Caputo M. L., Conte G., Regoli F., Krause R., Moccetti T., Auricchio A., Prinzen F. W., Maffessanti F. (2018) A left bundle branch block activation sequence and ventricular pacing influence voltage amplitudes: an in vivo and in silico study., EP Europace, 20 (3):iii77-iii86. ISSN 1532-2092 (Electronic)
Pezzuto S., Gharaviri A., Schotten U., Potse M., Conte G., Caputo M. L., Regoli F., Krause R., Auricchio A. (2018) Beat-to-beat P-wave morphological variability in patients with paroxysmal atrial fibrillation: an in silico study, EP Europace, 20 (suppl\_3):iii26-iii35. ISSN 1099-5129
Quaglino A., Pezzuto S., Koutsourelakis P. S., Auricchio A., Krause R. (2018) Fast uncertainty quantification of activation sequences in patient-specific cardiac electrophysiology meeting clinical time constraints, International Journal for Numerical Methods in Biomedical Engineering, 34 (7):e2985. ISSN 20407939
Maffessanti F., Prinzen W. F., Conte G., Regoli F., Caputo M. L., Suerder D., Moccetti T., Faletra F., Krause R., Auricchio A. (2018) Integrated Assessment of Left Ventricular Electrical Activation and Myocardial Strain Mapping in Heart Failure Patients, JACC Clinical Electrophysiology, 4 (1):138-146
Osborn S., Zulian P., Benson T., Villa U., Krause R., Vassilevski P. S. (2018) Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes, Numerical Linear Algebra with Applications, 25 (3):e2146
Bilgen C., Kopanicakova A., Krause R., Weinberg K. (2017) A phase-field approach to conchoidal fracture, Meccanica:1-17
Bilgen C., Kopani\v cáková A., Krause R., Weinberg K. (2017) A phase-field approach to pneumatic fracture, PAMM, 17 (1):71-74
Krause R., Müller B. a. (2017) An adaptive least-squares mixed finite eleme, Numerical Methods for Partial Differential Equations, 33 (1):276-289
Pezzuto S., Kal'avský P., Potse M., Prinzen F., Auricchio A., Krause R. (2017) Evaluation of a Rapid Anisotropic Model for ECG Simulation, Frontiers in Physiology, 8 (MAY). ISBN 1664-042X. ISSN 1664-042X
Zulian P., Schneider T., Hormann K., Krause R. (2017) Parametric finite elements with bijective mappings, BIT Numerical Mathematics, 57 (4):1185-1203
Kreienbuehl A., Benedusi P., Ruprecht D., Krause R. (2017) Time--parallel Gravitational Collapse Simulation, Communications in Applied Mathematics and Computational Science, 12 (1):109-128
Hesch C., Schuß S., Dittmann M., Eugster S. R., Favino M., Krause R. (2017) Variational space-time elements for large-scale systems, Computer Methods in Applied Mechanics and Engineering, 326:541-572
Favino M., Bourauel C., Krause R. (2016) A nonlinear poroelastic model for the periodontal ligament, International Journal for Computational Methods in Engineering Science and Mechanics, 17 (3):172-181. ISSN 1550-2287
Krause R., Zulian P. (2016) A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes, SIAM Journal on Scientific Computing, 38 (3):C307-C333. ISSN 1064-8275, 1095-7197
Krause R., Zulian P. (2016) A {Parallel} {Approach} to theVariational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes, Applied Mathematics and Computation:164-179
Krause R., Rigazzi A., Steiner J. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems, Computing and Visualization in Science, 18 (1):1-15. ISSN 1432-9360
Krause R., Zulian P. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems, Computing and Visualization in Science:1-15
Li X., Benedusi P., Krause R. (2016) An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods, Math. of Comp
Byshkin M., Mira A., Stivala A., Krause R., Robins G., Lomi A. (2016) Auxiliary Parameter Markov Chain Monte Carlo for Exponential Random Graph Models, Journal of Statistical Physics:740-754
Krause D., Krause R. (2016) Enabling local time stepping in the parallel implicit solution of reaction{\textendash}diffusion equations via space-time finite elements on shallow tree meshes, Applied Mathematics and Computation, 277:164-179
Favino M., Pozzi S., Pezzuto S., Prinzen F., Auricchio A., Krause R. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study, EP Europace, 18 (4):iv77-iv84. ISSN 1099-5129
Favino M., Pozzi S., Pezzuto S., Prinzen F., Auricchio A., Krause R. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study., EP Europace, 18 (suppl 4):iv77-iv84. ISSN 1532-2092
Krause R., Zulian P. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study., EP Europace:iv77-iv84
Keilig L., Drolshagen M., Tran K. L., Hasan I., Reimann S., Deschner J., Brinkmann K. T., Krause R., Favino M., Bourauel C. (2016) In vivo measurements and numerical analysis of the biomechanical characteristics of the human periodontal ligament, Annals of anatomy, 206:80-88. ISSN 1618-0402
Piazzese C., Carminati M. C., Colombo A., Krause R., Potse M., Auricchio A., Weinert L., Tamborini G., Pepi M., Lang R. M., Caiani E. G. (2016) Segmentation of the left ventricular endocardium from magnetic resonance images by using different statistical shape models, Journal of Electrocardiology, 49 (3):383-391. ISSN 00220736
Arbenz P., Grigori L., Krause R., Schenk O. (2016) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14), Parallel Computing:99-100
Quaglino A., Krause R. (2016) Towards a multigrid method for the minimum-cost flow problem, arXiv preprint
Speck R., Ruprecht D., Emmett M., Minion M., Bolten M., Krause R. (2015) A multi-level spectral deferred correction method, Bit Numer. Math., 55 (3):843-867. ISSN 0006-3835
Arteaga A., Ruprecht D., Krause R. (2015) A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA, Applied Mathematics and Computation, 267:727-741. ISSN 0096-3003
Krause R., Veeser A., Walloth M. (2015) An efficient and reliable residual-type a posteriori error estimator for the Signorini problem, Numerische Mathematik, 130 (1):151-197. ISSN 0945-3245
Nguy\haten U. C. ., Potse M., Regoli F., Caputo M. L., Conte G., Murzilli R., Muzzarelli S., Moccetti T., Prinzen F., Krause R., Auricchio. a. A. . (2015) An in-silico analysis of the effect of heart position and orientation on the ECG morphology and vectorcardiogram parameters in patients with heart failure and intraventricular conduction defects, Journal of Electrocardiology, 48 (4):617-625
Kroon W., Lumens J., Potse M., Suerder D., Klersy C., Regoli F., Murzilli R., Moccetti T., Delhaas T., Krause R., Prinzen F., Auricchio a. A. . (2015) In-vivo Electromechanical Assessment of Heart Failure Patients with Prolonged QRS Duration, Heart Rhythm, 12 (6):1259-1267
Kreienbuehl A., Naegel A., Ruprecht D., Speck R., Wittum G., Krause R. (2015) Numerical simulation of skin transport using Parareal, Computing and Visualization in Science, 17 (2):99-108. ISSN 1432-9360, 1433-0369
Arbenz P., Grigori L., Krause R., Schenk O. (2015) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14), Parallel Computing:135-136
Land S., Gurev V., Arens S., Augustin C. M., Baron L., Blake R., Bradley C., Castro S., Crozier A., Favino M., Fastl T. E., Fritz T., Gao H., Gizzi A., Griffith B. E., Hurtado D. E., Krause R., Luo X., Nash M. P., Pezzuto S., Plank G., Rossi S., Ruprecht D., Seemann G., Smith N. P., Sundnes J., Rice J. J., Trayanova N., Wang D., Jenny Wang Z., Niederer S. A. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 471 (2184). ISSN 1364-5021
Conen L., Dolean V., Krause R., Nataf F. (2014) A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator, Journal of Computational and Applied Mathematics, 271:83-99
Conen L., Krause R. (2014) Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator", Journal of Computational and Applied Mathematics, 290:670-674
Dickopf T., Krause D., Krause R., Potse M. (2014) Design and Analysis of a Lightweight Parallel Adaptive Scheme for the Solution of the Monodomain Equation, SIAM Journal on Scientific Computing, 36 (2):163-189
Dickopf T., Krause R. (2014) Evaluating local approximations of the L2-orthogonal projection between non-nested finite element spaces, Numerical Mathematics: Theory, Methods, and Applications, 7 (3):288-316
Baginski F. E., Croce R., Gillmor S., Krause R. (2014) Numerical investigations of the role of curvature in strong segregation problems on a given surface, Applied Mathematics and Computation, 227:399-411. ISSN 0096-3003
Potse M., Krause D., Kroon W., Murzilli R., Muzzarelli S., Regoli F., Caiani E., Prinzen F., Krause R., Auricchio A. (2014) Patient-specific modelling of cardiac electrophysiology in heart-failure patients, EP Europace, 16 (11):iv56-iv61
Schmitz S., Seibel T., Beck T., Rollmann G., Krause R., Gottschalk H. (2013) A Probabilistic Model for LCF, Computational Materials Science, 79:584-590
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) A Probabilistic Model for LCF, Computational Materials Science:584-590
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) The influence of boundary approximation on transf, PAMM:545-548
Dickopf T., Krause R. (2013) The influence of boundary approximation on transfer operators between non-nested meshes, PAMM, 13 (1):545-548
Favino M., Gross C., Drolshagen M., Keilig L., Deschner J., Bourauel C., Krause R. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL, Computer Methods in Biomechanics and Biomedical Engineering, 16 (5):544-553
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL, Computer Methods in Biomechanics and Biomedical Engineering:544-553
Winkel M., Speck R., Huebner H., Arnold L., Krause R., Gibbon P. (2012) A massively parallel, multi-disciplinary Barnes-Hut tree code for extreme-scale N-body simulations, Computer Physics Communications, 183 (4):880-889. ISSN 0010-4655
Ruprecht D., Krause R. (2012) Explicit Parallel-in-time Integration of a Linear Acoustic-Advection System, Computers \& Fluids, 59:72-83
Badea L., Krause R. (2012) One- and two-level multiplicative Schwarz methods for variational and quasi-variational inequalities of the second kind, Numerische Mathematik, 120 (4):573-599
Krause R., Walloth M. (2012) Presentation and Comparison of Selected Algorithms for Dynamic Contact Based on the Newmark Scheme, Applied Numerical Mathematics, 62 (10):1393-1410
Potse M., Krause D., Bacharova L., Krause R., Prinzen F., Auricchio A. (2012) Similarities and differences between electrocardiogram signs of left bundle-branch block and left-ventricular uncoupling, Europace, 14 (suppl 5):v33-v39
Krause R., Walloth M. (2011) A family of space-time connecting discretization schemes for elastodynamic contact problems with local impact detection, Computer Methods in Applied Mechanics and Engineering, 200 (1):3425-3438
Krause R., Walloth M. (2011) A family of space–time connecting discretization schemes with local impact detection for elastodynamic contact problems, Computer Methods in Applied Mechanics and Engineering, 200 (47-48):3425-3438
Fackeldey K., Krause R., Krause D., Lenzen C. (2011) Coupling Molecular Dynamics and Continua with Weak Constraints, Multiscale Modeling \& Simulation, 9 (4):1459-1494
Drolshagen M., Keilig L., Hasan I., Reimann S., Deschner J., Brinkmann K., Krause R., Favino M., Bourauel C. (2011) Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament., Journal of Biomechanics, 44 (11):2136-2143
Krause R., Mohr C. (2011) Level set based multi-scale methods for large deformation contact problems, Applied Numerical Mathematics, 61 (4):428-442
Bacharova L., Mateasik A., Krause R., Prinzen F., Auricchio A., Potse M. (2011) The effect of reduced intercellular coupling on electrocardiographic signs of left ventricular hypertrophy, J. Electrocardiol., 44 (5):571-576
Papadopoulou K., Keilig L., Eliades T., Krause R., Jäger A., Bourauel C. (2011) The time-dependent biomechanical behaviour of the periodontal ligament - an in vitro experimental study in minipig mandibular two-rooted premola, The European Journal of Orthodontics, 36 (1):9-15. ISSN 0141-5387
Gross C., Krause R., Steiner J. (2010) Heterogeneous Coupling: A Comparison of two Approaches for the Modeling of thin Structures, PAMM, 10 (1):649-650. ISSN 1617-7061
Krause R. (2009) A Non-Smooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency, SIAM Journal on Scientific Computing, 31 (2):1399-1423
Krause R., Walloth M. (2009) A Time Discretization Scheme Based on Rothe's Method for Dynamical Contact Problems with Friction, Computer Methods in Applied Mechanics and Engineering, 199 (1-4):1-19
Dickopf T., Krause R. (2009) Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization, International Journal for Numerical Methods in Engineering, 77 (13):1834-1862
Fackeldey K., Krause R. (2009) Multiscale Coupling in Function Space - Weak Coupling between Molecular Dynamics and Continuum Mechanics, Int. J. Numer. Meth. Engng, 79 (12):1517-1535
Gross C., Krause R. (2009) On the Convergence of Recursive Trust--Region Methods for Multiscale Non-linear Optimization and Applications to Non-linear Mechanics, SIAM J. Numer. Anal., 47 (4):3044-3069
Deuflhard P., Krause R., Ertel S. (2008) A Contact-Stabilized Newmark Method for Dynamical Contact Problems, International Journal for Numerical Methods in Engineering, 73 (9):1274-1290
Deuflhard P., Krause R., Ertel S. (2008) A Contact-Stabilized Newmark Method for Dynamical Contact Problems, International Journal for Numerical Methods in Engineering, 73 (9):1274-1290
Kornhuber R., Krause R., Sander O., Deuflhard P., Ertel S. (2008) A Monotone Multigrid Solver for Two Body Contact Problems in Biomechanics, Computing and Visualization in Science, 11 (1):3-15
Fackeldey K., Krause R. (2008) CM/MD Coupling - A Function Space Oriented Multiscale-Coupling Approach, PAMM, 8 (1):10495
Krause R., Sander O. (2006) Automatic Construction of Boundary Parametrizations for geometric multigrid solvers, Computing and Visualization in Science, 9 (1):11-22
Deuflhard P., Ertel S., Kornhuber, Krause R., Sander R., Arrigo O. (2006) Patient-specific simulation of dynamic stress distribution in the human knee, Journal of Biomechanics, 39 (Supplement 1):S47. ISSN 0021-9290
Kornhuber R., Krause R. (2006) Robust Multigrid Methods for Vector-Valued Allen--Cahn Equations with Logarithmic Free Energy., Computing and Visualization in Science, 9 (2):103-116
Wohlmuth B., Krause R. (2003) Monotone Methods on Nonmatching Grids for Nonlinear Contact Problems, SIAM Journal on Scientific Computing, 25 (1):324-347
Krause R., B.~Wolmuth (2002) A Dirichlet-Neumann Type Algorithm for Contact Problems with Friction, Computing and Visualization in Science, 5 (3):139-148
Krause R., Barbara~Wohlmuth (2001) A Multigrid Method Based on the Unconstrained Product Space arising from Mortar Finite Element Discretizations, SIAM Journal on Numerical Analysis, 39 (1):192-213
Kornhuber R., Krause R. (2001) Adaptive Multigrid Methods for Signorini's Problem in Linear Elasticity, Computing and Visualization in Science, 4:9-20
Krause R., Wohlmuth B. (2001) Domain Decomposition Methods on Nonmatching Grids and Some Applications to Linear Elasticity Problems, Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 81 (1):21-24. ISSN 0044-2267
Krause R., Wohlmuth B. (2000) Nonconforming Domain Decomposition Methods Techniques for Linear Elasticity, East--West Journal of Numerical Mathematics, 8 (3):177-206

Book (4)

Dickopf T., Gander M. J., Halpern L., Krause R., Pavarino L. F. (2016) Domain Decomposition Methods in Science and Engineering XXII. Springer. Lecture Notes in Science and Engineering. ISBN 3319188275, 9783319188270
Krause R., Zulian P. (2016) Domain Decomposition Methods in Science and Engineering XXII. Springer
Krause R. (2001) Monotone Multigrid Methods for Signorini's Problem with Friction. Freie Universität Berlin, Fachbereich Mathematik und Informatik
Krause R. (1996) Über die Konvergenz des kaskadischen Mehrgitterverfahrens. Freie Universität Berlin, Fachbereich Mathematik und Informatik

Book chapter (8)

Grasedyck L., Löbbert C., Wittum G., Nägel A., Schulz V., Siebenborn M., Krause R., Benedusi P., Küster U., Dick B. (2016) Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. Software for Exascale Computing-SPPEXA 2013-2015. Springer, 507-523
Krause D., Fackeldey K., Krause R. (2014) A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements. Singular Phenomena and Scaling in Mathematical Models. Springer International Publishing, 327-346. ISBN 978-3-319-00785-4
Gross C., Krause R., Poletti V. (2013) A Numerical Remark on the Time Discretization of Contact Problems in Nonlinear Elasticity. Numerical Mathematics and Advanced Applications 2011. Springer Berlin Heidelberg, 165-173. ISBN 978-3-642-33133-6
Krause D., Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F. (2012) Hybrid Parallelization of a Large-Scale Heart Model. Facing the Multicore - Challenge II. Springer Berlin Heidelberg. Lecture Notes in Computer Science, 120-132. ISBN 978-3-642-30396-8
Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F., Krause D. (2012) Hybrid parallelization of a realistic heart model. Facing the Multicore-Challenge II. Springer. Lecture Notes in Computer Science, 13-14
Grillo A., Giverso C., Favino M., Krause R., Lampe M., Wittum G. (2012) Mass Transport in Porous Media With Variable Mass. Advanced Structured Materials. Springer Berlin Heidelberg, 27-61. ISBN 9783642305313
Dickopf T., Krause R. (2010) A study of prolongation operators between non-nested meshes. Domain Decomposition Methods in Science and Engineering XIX. Springer. Lecture Notes in Computational Science and Engineering, 343-350
Krause R. (2006) From inexact active set strategies to nonlinear multigrid methods. Springer. Lecture Notes in Applied and Computational Mechanics, 13-21. ISBN 978-3-540-31761-6

Working paper (3)

Kopanicakova A., Kothari H., Karniadakis G. E., Krause R. (2023) Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies
Zulian P., Kopanicakova A., Nestola M. G. C., Fink A., Fadel N. A., Vandevondele J., Krause R. (2021) Large scale simulation of pressure induced phase-field fracture propagation using Utopia
Kopanicakova A., Krause R. (2021) Multilevel Active-Set Trust-Region (MASTR) Method for Bound Constrained Minimization

Conference proceedings (1)

Kothari H., Kopanicakova A., Krause R. (2024) Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints. Domain Decomposition Methods in Science and Engineering XXVII. Domain Decomposition Methods in Science and Engineering XXVII. ISBN 9783031507687

Article in conference proceedings (58)

Kothari H., Kopanicakova A., Krause R. (2023) A Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods. Domain Decomposition Methods in Science and Engineering XXVI. Springer. 26th Domain Decomposition Conference. Hong Kong, China. December 2020
Kothari H., Krause R. (2021) Multigrid and saddle-point preconditioners for unfitted finite element modelling of inclusions. 14th WCCM-ECCOMAS Congress 2020. WCCM-ECCOMAS2020. virtual congress. January, 11-15, 2021
Gaedke-Merzhäuser L., Kopanicakova A., Krause R. (2021) Multilevel Minimization for Deep Residual Networks. FSG'19. ICML. FSG. ---. ---
Braglia V., Kopanicakova A., Krause R. (2020) A Multilevel Approach to Training. ICML 2020 Workshop: Beyond First Order Methods in Machine Learning. ICML. Viena. July, 2020
Bilgen C., Kopanicakova A., Krause R., Kerstin W. (2020) A phase-field approach to pneumatic fracture.. PAMM. Proc. Appl. Math. Mech. ---. __. ---
HASSANJANIKHOSHKROUD N. ., Nestola M. G. C., Zulian P., von Planta C., Vogler D., Köstler H. ., Krause R. (2020) Thermo-Fluid-Structure Interaction Based on the Fictitious Domain Method: Application to Dry Rock Simulation. Proceedings,45rd Workshop on Geothermal Reservoir Engineering Stanford University. 45rd Workshop on Geothermal Reservoir Engineering. Stanford University. 10-12 February
Nestola M. G. C., Becsek B., Zolfaghari H., Zulian P., Obrist D., Krause R. (2018) An Immersed Boundary Method Based on the L2-Projection Approach. Domain Decomposition Methods in Science and Engineering XXIV. Springer International Publishing
Potse M., Gharaviri A., Pezzuto S., Auricchio A., Krause R., Verheule S., Schotten U. (2018) Anatomically-induced Fibrillation in a 3D model of the Human Atria. Computing in Cardiology
von Planta C., Vogler D., Xiaoqing C., Nestola M. G. C., Zulian P., Saar M. O., Krause R. (2018) Simulating hydro-mechanical processes in rough fractures with a Fluid-Structure Interaction (FSI) approach with a parallel transfer operator. AGU Fall Meeting 2018, Washington, DC, USA
Becsek B., Zolfaghari H., Nestola M. G. C., Obrist D., Krause R. (2018) Understanding Turbulent Flow issuing from the aortic valve. 5th International Conference on Computational and Mathematical Biomedical Engineering-CMBE2017. CMBE2017
Planta C., Vogler D., Nestola M., Zulian P., Krause R. (2018) Variational Parallel Information Transfer between Unstructured Grids in Geophysics-Applications and Solutions Methods. PROCEEDINGS, 43rd Workshop on Geothermal Reservoir Engineering Stanford University. Stanford - USA
von Planta C., Vogler D., Nestola M. G. C., Zulian P., Krause R. (2018) Variational Parallel Information Transfer between Unstructured Grids in Geophysics - Applications and Solutions Methods. Proceedings,43rd Workshop on Geothermal Reservoir Engineering Stanford University. 43rd Workshop on Geothermal Reservoir Engineering Stanford University. Stanford University. 12-14 February 2018
Bilgen C., Kopanicakova A., Krause R., Weinberg K. (2017) A phase-field approach to pneumatic fracture. PAMM. Proc. Appl. Math. Mech. ---. ---. ---
Zulian P., Nestola M. G. C., von Planta C., Krause R. (2017) Contact, Fluid Structure Interaction and Variational Transfer. Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. Stuttgart. 11-13 October 2017
Hunziker J., Hunziker J., Favino M., Caspari E., Quintal B., Rubino J. G., Krause R., Holliger K. (2017) Seismic Attenuation in Realistic Fracture Networks. Sixth Biot Conference on Poromechanics. American Society of Civil Engineers
Becsek B., Zolfaghari H., Nestola M. G. C., Krause R., Obrist D. (2017) Viscoelastic computational modeling of the human head-neck system: Eigenfrequencies and time-dependent analysisUnderstanding Turbulent Flow issuing from the aortic valve} 5th International Conference on Computational and Mathematical Biomedical Engineering. 5th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2017. CMBE2017. Pittsburgh. 10-12 April 2017
Kotas P., Croce R., Poletti V., Vondrak V., Krause R. (2016) A Massive Parallel Fast Marching Method. Domain Decomposition Methods in Science and Engineering XXII. Springer. Lecture Notes in Computational Science and Engineering
Benedusi P., Hupp D., Arbenz P., Krause R. (2016) A Parallel Multigrid Solver for Time-periodic Incompressible Navier-Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ENUMATH 2015. ENUMATH 2015
Krause R., Zulian P. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ‐ ENUMATH 2015. Ankara, Turkey
Benedusi P., Hupp D., Arbenz P., Krause R. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D. Numerical Mathematics and Advanced Applications ‐ ENUMATH 2015. Springer. ENUMATH 2015. Ankara, Turkey
Grasedyck L., Löbbert C., Wittum G., Nägel A., Schulz V., Siebenborn M., Krause R., Küster U., Dick B. (2016) Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations. Software for Exascale Computing - SPPEXA 2013-2015. Springer International Publishing. Lecture Notes in Computational Science and Engineering. Cham. ISBN 978-3-319-40526-1 978-3-319-40528-5
Krause R., Krause D., Favino M., Ruprecht D. (2015) Parallel Methods in Cardiac Simulation -- from lightweight adaptivity to Coupled Models. 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE 2015. CMBE
Schneider T., Zulian P., Azadmanesh M. R., Krause R., Hauswirth M. (2015) Vestige: A visualization framework for engineering geometry-related software. 2015 IEEE 3rd Working Conference on Software Visualization (VISSOFT). VISSOFT
Krause R., Ruprecht D. (2014) Hybrid Space-Time Parallel Solution of Burger's Equation. Domain Decomposition Methods in Science and Engineering XXI. Springer. Lecture Notes in Applied and Computational Mechanics
Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2014) Integrating an N-body problem with SDC and PFASST. Proceedings of the 21st International Conference on Domain Decomposition Methods. Lecture Notes in Computational Science and Engineering. Domain Decomposition Methods in Science and Engineering {XXI}
Schmitz S., Gottschalk H., Rollmann G., Krause R. (2013) A Probabilistic Approach to Low-Cycle Fatigue. Proceedings of ASME Turbo Expo 2013. ASME
Dickopf T., Krause R. (2013) Monotone Multigrid Methods Based on Parametric Finite Elements. Domain Decomposition Methods in Science and Engineering XX. Springer Berlin Heidelberg. Lecture Notes in Science and Engineering
Dickopf T., Krause R. (2013) Numerical study of the almost nested case in a multilevel method based on non-nested meshes. Domain Decomposition Methods in Science and Engineering XX. Springer. Lecture Notes in Computational Science and Engineering. Berlin
Bolten M., Emmet M., Krause R., Ruprecht D., Speck R. (2013) Poster: Extreme-scale Space-time Parallelism. Proceedings of the 2013 Conference on High Performance Computing Networking, Storage and Analysis Companion, SC
Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Probabilistic Analysis of LCF Crack Initiation Life of a Turbine Blade under Thermomechanical Loading. Proceedings of the Seventh International Conference on Low Cycle Fatigue. ISBN 9783981451627
Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Risk Estimation for LCF Crack Initiation. Proceedings of the ASME Turbo Expo. San Antonio, Texas
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Risk Estimation for LCF Crack Initiation. Proceedings of the ASME Turbo Expo. ASME Turbo Expo
Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2012) A massively space-time parallel N-body solver. Proceedings of the Supercomputing Conference 2012. IEEE Computer Society Press. 92. Salt Lake City. ISBN 9781467308045
Favino M., Drolshagen M., Bourauel C., Krause R. (2012) A NON-LINEAR BIPHASIC MODEL FOR THE PERIODONTAL LIGAMENT: MODELLING AND SIMULATION. Proceedings of CMBBE2012
Favino M., Krause R., Steiner J. (2012) An Efficient Preconditioning Strategy for Schur Complements Arising from Biphasic Models. Biomedical Engineering
Speck R., Krause R., Gibbon P. (2012) Parallel remeshing in tree codes for vortex particle methods. International Conference on Parallel Computing
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing. Proc. of the 4th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR). APSAR. ISBN 978-4-88552-278-9
Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing. Proceedings of the 4th Asia-Pacific Conference on Synthetic Aperture Radar (APSAR). APSAR
Fackeldey K., Krause D., Krause R. (2011) Numerical validation of a constraints-based multiscale simulation method for solids. Meshfree Methods for Partial Differential Equations V. Lecture Notes in Computational Science and Engineering
Fackeldey K., Krause D., Krause R. (2011) Numerical Validation of Constraints Based Multiscale Methods. Proc. Meshfree Methods for Partial Differential Equations V. Lecture Notes in Computational Science and Engineering 79
Krause R., Krause D. (2011) Parallel Scale-Transfer in Multiscale MD-FE Coupling Using Remote Memory Access. eScience Workshops, IEEE 7th International Conference on E-Science
Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F., Krause D. (2011) Poster: hybrid parallelization of a realistic heart model. SC Companion
Krause R., Steiner J. (2010) Cosserat-Rods and Elastic Bodies: On the Numerical Simulation of a Coupled System. 9th International Symposium on Computer methods in Biomechanics and Biomedical Engineering. Arup, Solihull. CMBBE2010. Valencia, Spain
Gross C., Krause R. (2009) A Recursive Trust--Region Method for Non-convex Constrained Minimization. Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering
Gross C., Krause R., Walloth M. (2009) Nonlinear Decomposition Methods in Elastodynamics. Numerical Mathematics and Advanced Applications. Institute of Computational Science, University of Lugano
Krause D., Krause R., Fackeldey K. (2009) Weak Coupling Algorithms in Multiscale Simulations. Proceedings of the third Inter. Confer. on Comp. Meth. for Coupled Problems in Science and Engrg.
Dickopf T., Krause R. (2009) Weak information transfer between non-matching warped interfaces. Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering
Berrenberg S., Gross C., Krause R. (2008) Numerical Simulation in Biomechanics: A Flexible Approach. 8th World Congress on Computational Mechanics and 5th European Congress on Computational Methods in Applied Sciences and Engineering
Fackeldey K., Krause D., Krause R. (2008) Quadrature and Implementation of the Weak Coupling Method. Proceedings of the fourth Int. Conf. Multiscale Materials Modeling
Fackeldey K., Krause R., Schweitzer M. (2008) Stability of Energy Transfer in the Weak Coupling Method. Meshfree Methods for Partial Differential Equations IV. Lecture Notes in Computational Science and Engineering
Dutz H., Krause R., Raccanelli A. (2007) A Finite Element Model for the Thermal Transport in Solid Targets. Proceedings of The 17th International Spin Physics Symposium (SPIN2006)
Krause R. (2007) On the Multiscale Solution of Constrained Minimization Problems. Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering. ISBN 978-3-540-75199-1
Fackeldey K., Krause R. (2007) Weak Coupling in Function Space: a Unifying Coupling Approach for Multiscale Simulations. PAMM Proceedings in Applied Mathematics and Mecchanics
Krause R., Sander O. (2005) Fast solving of contact problems on complicated geometries. Domain Decomposition Methods in Science and Engineering {XV}. Lecture Notes in Computational Science and Engineering 40. Domain Decomposition Methods in Science and Engineering
Fackeldey K., Krause R. (2005) Solving Frictional Contact Problems with Multigrid Efficiency. Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering
Krause R., Kornhuber R. (2003) On Multigrid Methods for Vector-Valued Allen-Cahn equations. Domain Decomposition Methods in Science and Engineering XIV. National Autonomous University of Mexico (UNAM). ISBN ISBN 970-32-0859-2
Krause R., Wolmuth B. (1999) Multigrid Methods for Mortar Finite Elements. Multigrid Methods VI: Proceedings of the Sixth European Multigrid Conference. ISBN 978-3540671572
Bornemann F. A. ., Krause R. (1998) Classical and Cascadic Multigrid - A Methodologic. Domain Decomposition Methods in Science and Engineering IX