Johannes Kraus

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 20

Top Topics

Iterative Methods

Stability Analysis

Top Venues

Numer. Linear Algebra Appl.

Math. Comput. Simul.

Comput. Methods Appl. Math.

Publications

Johannes Kraus, Maria Lymbery, Kevin Osthues, Fadi Philo
Analysis of a family of time-continuous strongly conservative space-time finite element methods for the dynamic Biot model. CoRR (2024)
Stefan Meggendorfer, Guido Kanschat, Johannes Kraus
Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions. CoRR (2024)
Johannes Kraus, Kundan Kumar, Maria Lymbery, Florin Adrian Radu
A fixed-stress type splitting method for nonlinear poroelasticity. CoRR (2023)
Johannes Kraus, Philip L. Lederer, Maria Lymbery, Kevin Osthues, Joachim Schöberl
Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics. SIAM J. Sci. Comput. 45 (6) (2023)
Qingguo Hong, Johannes Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes
Robust Approximation of Generalized Biot-Brinkman Problems. J. Sci. Comput. 93 (2) (2022)
Qingguo Hong, Johannes Kraus, Maria Lymbery, Fadi Philo
A new practical framework for the stability analysis of perturbed saddle-point problems and applications. Math. Comput. 92 (340) (2022)
Johannes Kraus, Philip L. Lederer, Maria Lymbery, Kevin Osthues, Joachim Schöberl
Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications. CoRR (2022)
Radim Blaheta, Jaroslav Haslinger, Stanislav Sysala, Peter Arbenz, Johannes Kraus
MATCOM special issue modelling 2019: International Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering. Math. Comput. Simul. 189 (2021)
Svetoslav Nakov, Ekaterina Sobakinskaya, Thomas Renger, Johannes Kraus
ARGOS: An adaptive refinement goal-oriented solver for the linearized Poisson-Boltzmann equation. J. Comput. Chem. 42 (26) (2021)
Qingguo Hong, Johannes Kraus, Maria Lymbery, Fadi Philo
A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics. CoRR (2021)
Johannes Kraus, Svetoslav Nakov, Sergey I. Repin
Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson-Boltzmann Equation. Comput. Methods Appl. Math. 20 (2) (2020)
Qingguo Hong, Johannes Kraus, Maria Lymbery, Mary F. Wheeler
Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems. Multiscale Model. Simul. 18 (2) (2020)
Johannes Kraus, Philip L. Lederer, Maria Lymbery, Joachim Schöberl
Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model. CoRR (2020)
Johannes Kraus, Svetoslav Nakov, Sergey I. Repin
Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson-Boltzmann Equation. Comput. Methods Appl. Math. 20 (4) (2020)
Qingguo Hong, Johannes Kraus, Maria Lymbery, Fadi Philo
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models. CoRR (2019)
Johannes Kraus, Carl-Martin Pfeiler, Dirk Praetorius, Michele Ruggeri, Bernhard Stiftner
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. J. Comput. Phys. 398 (2019)
Qingguo Hong, Johannes Kraus, Maria Lymbery, Fadi Philo
Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models. Numer. Linear Algebra Appl. 26 (4) (2019)
Johannes Kraus, Maria Lymbery
Incomplete factorization by local exact factorization (ILUE). Math. Comput. Simul. 145 (2018)
Qingguo Hong, Johannes Kraus, Jinchao Xu, Ludmil T. Zikatanov
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik 132 (1) (2016)
Qingguo Hong, Johannes Kraus
Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. SIAM J. Numer. Anal. 54 (5) (2016)
Johannes Kraus, Maria Lymbery, Svetozar Margenov
Auxiliary space multigrid method based on additive Schur complement approximation. Numer. Linear Algebra Appl. 22 (6) (2015)
Johannes Kraus, Maria Lymbery, Svetozar Margenov
Robust multilevel methods for quadratic finite element anisotropic elliptic problems. Numer. Linear Algebra Appl. 21 (3) (2014)
Johannes Kraus, Monika Wolfmayr
On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems. Comput. Vis. Sci. 16 (1) (2013)
James J. Brannick, Yao Chen, Johannes Kraus, Ludmil T. Zikatanov
Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs. SIAM J. Numer. Anal. 51 (3) (2013)
Johannes Kraus, Panayot S. Vassilevski, Ludmil T. Zikatanov
Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods. Comput. Methods Appl. Math. 12 (4) (2012)
Johannes Kraus
Additive Schur Complement Approximation and Application to Multilevel Preconditioning. SIAM J. Sci. Comput. 34 (6) (2012)
Johannes Kraus
Additive Schur Complement Approximation for Elliptic Problems with Oscillatory Coefficients. LSSC (2011)
Johannes Kraus, Maria Lymbery, Svetozar Margenov
On the Robustness of Two-Level Preconditioners for Quadratic FE Orthotropic Elliptic Problems. LSSC (2011)
Blanca Ayuso de Dios, Ivan Georgiev, Johannes Kraus, Ludmil T. Zikatanov
A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations. NMA (2010)
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems. LSSC (2009)
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems. Computing 82 (4) (2008)
Johannes Kraus, Svetozar Margenov, Josef Synka
On the multilevel preconditioning of Crouzeix-Raviart elliptic problems. Numer. Linear Algebra Appl. 15 (5) (2008)
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
Multilevel preconditioning of rotated bilinear non-conforming FEM problems. Comput. Math. Appl. 55 (10) (2008)
Dalibor Lukás, Johannes Kraus
A Fixed-Grid Finite Element Algebraic Multigrid Approach for Interface Shape Optimization Governed by 2-Dimensional Magnetostatics. LSSC (2007)
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems. LSSC (2007)
Ivan Georgiev, Johannes Kraus, Svetozar Margenov
Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods. Numerical Methods and Applications (2006)