Condition Numbers of Approximate Schur Complements in Two- and Three-Dimensional Discretizations on Hierarchically Ordered Grids. - J. K. Kraus; C. W. Brand (Computing, 2000)

An algebraic preconditioning method for M-matrices: linear versus non-linear multilevel iteration. - J. K. Kraus (Numer. Linear Algebra Appl., 2002)

On the Utilization of Edge Matrices in Algebraic Multigrid. - J. K. Kraus (LSSC, 2005)

Computing Interpolation Weights in AMG Based on Multilevel Schur Complements. - J. K. Kraus (Computing, 2005)

Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods. - Ivan Georgiev; Johannes Kraus 001; Svetozar Margenov (Numerical Methods and Applications, 2006)

Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems. - J. K. Kraus; Josef Schicho (Computing, 2006)

Algebraic multilevel preconditioning of finite element matrices using local Schur complements. - J. K. Kraus (Numer. Linear Algebra Appl., 2006)

Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems. - Ivan Georgiev; Johannes Kraus 001; Svetozar Margenov (LSSC, 2007)

A Fixed-Grid Finite Element Algebraic Multigrid Approach for Interface Shape Optimization Governed by 2-Dimensional Magnetostatics. - Dalibor Lukás; Johannes Kraus 001 (LSSC, 2007)

Multilevel preconditioning of rotated bilinear non-conforming FEM problems. - Ivan Georgiev; Johannes Kraus 001; Svetozar Margenov (Comput. Math. Appl., 2008)

Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems. - Ivan Georgiev; Johannes Kraus 001; Svetozar Margenov (Computing, 2008)

On the multilevel preconditioning of Crouzeix-Raviart elliptic problems. - Johannes Kraus 001; Svetozar Margenov; Josef Synka (Numer. Linear Algebra Appl., 2008)

A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems. - Johannes K. Kraus; Satyendra K. Tomar (Numer. Linear Algebra Appl., 2008)

Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems. - J. K. Kraus (SIAM J. Sci. Comput., 2008)

Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods. - Johannes K. Kraus; Satyendra K. Tomar (SIAM J. Sci. Comput., 2008)

Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems. - Ivan Georgiev; Johannes Kraus 001; Svetozar Margenov (LSSC, 2009)

A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations. - Blanca Ayuso de Dios; Ivan Georgiev; Johannes Kraus 001; Ludmil T. Zikatanov (NMA, 2010)

Additive Schur Complement Approximation for Elliptic Problems with Oscillatory Coefficients. - Johannes Kraus 001 (LSSC, 2011)

On the Robustness of Two-Level Preconditioners for Quadratic FE Orthotropic Elliptic Problems. - Johannes Kraus 001; Maria Lymbery; Svetozar Margenov (LSSC, 2011)

Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods. - Johannes Kraus 001; Panayot S. Vassilevski; Ludmil T. Zikatanov (Comput. Methods Appl. Math., 2012)

Additive Schur Complement Approximation and Application to Multilevel Preconditioning. - Johannes Kraus 001 (SIAM J. Sci. Comput., 2012)

On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems. - Johannes Kraus 001; Monika Wolfmayr (Comput. Vis. Sci., 2013)

Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs. - James J. Brannick; Yao Chen; Johannes Kraus 001; Ludmil T. Zikatanov (SIAM J. Numer. Anal., 2013)

An Algebraic Multigrid Method Based on Matching in Graphs. - James J. Brannick; Yao Chen; Johannes Kraus 001; Ludmil T. Zikatanov (Domain Decomposition Methods in Science and Engineering XX, 2013)

A Subspace Correction Method for Nearly Singular Linear Elasticity Problems. - Erwin Karer; Johannes K. Kraus; Ludmil T. Zikatanov (Domain Decomposition Methods in Science and Engineering XX, 2013)

Robust multilevel methods for quadratic finite element anisotropic elliptic problems. - Johannes Kraus 001; Maria Lymbery; Svetozar Margenov (Numer. Linear Algebra Appl., 2014)

On the stable solution of transient convection-diffusion equations. - N. R. Bayramov; J. K. Kraus (J. Comput. Appl. Math., 2015)

Auxiliary space multigrid method based on additive Schur complement approximation. - Johannes Kraus 001; Maria Lymbery; Svetozar Margenov (Numer. Linear Algebra Appl., 2015)

A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. - Qingguo Hong; Johannes Kraus 001; Jinchao Xu; Ludmil T. Zikatanov (Numerische Mathematik, 2016)

Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. - Qingguo Hong; Johannes Kraus 001 (SIAM J. Numer. Anal., 2016)

Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. - Johannes K. Kraus; Raytcho D. Lazarov; Maria Lymbery; Svetozar Margenov; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2016)

Incomplete factorization by local exact factorization (ILUE). - Johannes Kraus 001; Maria Lymbery (Math. Comput. Simul., 2018)

Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (CoRR, 2019)

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. - Johannes Kraus 001; Carl-Martin Pfeiler; Dirk Praetorius; Michele Ruggeri; Bernhard Stiftner (J. Comput. Phys., 2019)

Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (Numer. Linear Algebra Appl., 2019)

Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson-Boltzmann Equation. - Johannes Kraus 001; Svetoslav Nakov; Sergey I. Repin (Comput. Methods Appl. Math., 2020)

Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson-Boltzmann Equation. - Johannes Kraus 001; Svetoslav Nakov; Sergey I. Repin (Comput. Methods Appl. Math., 2020)

Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model. - Johannes Kraus 001; Philip L. Lederer; Maria Lymbery; Joachim Schöberl (CoRR, 2020)

Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Mary F. Wheeler (Multiscale Model. Simul., 2020)

A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (CoRR, 2021)

A posteriori error estimates for domain decomposition methods. - Johannes K. Kraus; Sergey I. Repin (CoRR, 2021)

ARGOS: An adaptive refinement goal-oriented solver for the linearized Poisson-Boltzmann equation. - Svetoslav Nakov; Ekaterina Sobakinskaya; Thomas Renger; Johannes Kraus 001 (J. Comput. Chem., 2021)

MATCOM special issue modelling 2019: International Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering. - Radim Blaheta; Jaroslav Haslinger; Stanislav Sysala; Peter Arbenz; Johannes Kraus 001 (Math. Comput. Simul., 2021)

Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications. - Johannes Kraus 001; Philip L. Lederer; Maria Lymbery; Kevin Osthues; Joachim Schöberl (CoRR, 2022)

Robust Approximation of Generalized Biot-Brinkman Problems. - Qingguo Hong; Johannes Kraus 001; Miroslav Kuchta; Maria Lymbery; Kent-André Mardal; Marie E. Rognes (J. Sci. Comput., 2022)

A new practical framework for the stability analysis of perturbed saddle-point problems and applications. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (Math. Comput., 2022)

A fixed-stress type splitting method for nonlinear poroelasticity. - Johannes Kraus 001; Kundan Kumar 001; Maria Lymbery; Florin Adrian Radu (CoRR, 2023)

Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics. - Johannes Kraus 001; Philip L. Lederer; Maria Lymbery; Kevin Osthues; Joachim Schöberl (SIAM J. Sci. Comput., 2023)

Analysis of a family of time-continuous strongly conservative space-time finite element methods for the dynamic Biot model. - Johannes Kraus 001; Maria Lymbery; Kevin Osthues; Fadi Philo (CoRR, 2024)

Monolithic two-level Schwarz preconditioner for Biot's consolidation model in two space dimensions. - Stefan Meggendorfer; Guido Kanschat; Johannes Kraus 001 (CoRR, 2024)

Time-continuous strongly conservative space-time finite element methods for the dynamic Biot model. - Johannes Kraus 001; Maria Lymbery; Kevin Osthues (CoRR, 2025)

Fitted norm preconditioners for the Hodge Laplacian in mixed form. - Wietse M. Boon; Johannes Kraus 001; Tomás Luber; Maria Lymbery (CoRR, 2025)