Conservative discretizations and parameter‐robust preconditioners for Biot and multiple‐network flux‐based poroelasticity models Q Hong, J Kraus, M Lymbery, F Philo
Numerical Linear Algebra with Applications 26 (4), e2242, 2019
56 2019 Parameter-robust convergence analysis of fixed-stress split iterative method for multiple-permeability poroelasticity systems Q Hong, J Kraus, M Lymbery, MF Wheeler
Multiscale modeling & simulation 18 (2), 916-941, 2020
35 2020 Preconditioning Heterogeneous J Kraus, R Lazarov, M Lymbery, S Margenov, L Zikatanov
SIAM Journal on Scientific Computing 38 (2), A875-A898, 2016
26 2016 Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models Q Hong, J Kraus, M Lymbery, F Philo
Mathematical Models and Methods in Applied Sciences 30 (13), 2523-2555, 2020
21 2020 Auxiliary space multigrid method based on additive Schur complement approximation J Kraus, M Lymbery, S Margenov
Numerical Linear Algebra with Applications 22 (6), 965-986, 2015
16 2015 A new practical framework for the stability analysis of perturbed saddle-point problems and applications Q Hong, J Kraus, M Lymbery, F Philo
Mathematics of Computation 92 (340), 607-634, 2023
13 2023 Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot’s consolidation model J Kraus, PL Lederer, M Lymbery, J Schöberl
Computer Methods in Applied Mechanics and Engineering 384, 113991, 2021
12 2021 Analysis of the CBS constant for quadratic finite elements I Georgiev, M Lymbery, S Margenov
International Conference on Numerical Methods and Applications, 412-419, 2010
7 2010 Robust approximation of generalized Biot-Brinkman problems Q Hong, J Kraus, M Kuchta, M Lymbery, KA Mardal, ME Rognes
Journal of Scientific Computing 93 (3), 77, 2022
6 2022 A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics Q Hong, J Kraus, M Lymbery, F Philo
arXiv preprint arXiv:2103.09357, 2021
6 2021 Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems M Lymbery, S Margenov
Central European Journal of Mathematics 10, 357-369, 2012
5 2012 Preconditioning of weighted H (div)-norm and applications to numerical simulation of highly heterogeneous media J Kraus, R Lazarov, M Lymbery, S Margenov, L Zikatanov
arXiv preprint arXiv:1406.4455, 2014
4 2014 On the robustness of two-level preconditioners for quadratic FE orthotropic elliptic problems J Kraus, M Lymbery, S Margenov
International Conference on Large-Scale Scientific Computing, 582-589, 2011
4 2011 Robust multilevel methods for quadratic finite element anisotropic elliptic problems J Kraus, M Lymbery, S Margenov
Numerical Linear Algebra with Applications 21 (3), 375-398, 2014
3 2014 Robust Balanced Semi‐coarsening AMLI Preconditioning of Biquadratic FEM Systems M Lymbery, S Margenov
AIP Conference Proceedings 1404 (1), 438-447, 2011
3 2011 Analysis of a family of time-continuous strongly conservative space-time finite element methods for the dynamic Biot model J Kraus, M Lymbery, K Osthues, F Philo
arXiv preprint arXiv:2401.04609, 2024
2 2024 Hybridized discontinuous Galerkin/hybrid mixed methods for a multiple network poroelasticity model with application in biomechanics J Kraus, PL Lederer, M Lymbery, K Osthues, J Schöberl
SIAM Journal on Scientific Computing 45 (6), B802-B827, 2023
2 2023 On two-level splittings for quadratic FEM anisotropic elliptic problems I Georgiev, J Kraus, M Lymbery, S Margenov
BGSIAM’10, 35, 2010
2 2010 A fixed-stress type splitting method for nonlinear poroelasticity J Kraus, K Kumar, M Lymbery, FA Radu
arXiv preprint arXiv:2312.17698, 2023
1 2023 Incomplete factorization by local exact factorization (ILUE) J Kraus, M Lymbery
Mathematics and Computers in Simulation 145, 50-61, 2018
1 2018 
Johannes KrausProfessor for Numerical Analysis, University of Duisburg-EssenBestätigte E-Mail-Adresse bei uni-due.de
