Johannes Kraus

Orcid: 0000-0003-2261-599X

Affiliations:
  • Austrian Academy of Sciences, Linz, Austria
  • University of Duisburg-Essen, Germany


According to our database1, Johannes Kraus authored at least 49 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Analysis of a family of time-continuous strongly conservative space-time finite element methods for the dynamic Biot model.
CoRR, 2024

2023
Hybridized Discontinuous Galerkin/Hybrid Mixed Methods for a Multiple Network Poroelasticity Model with Application in Biomechanics.
SIAM J. Sci. Comput., December, 2023

A fixed-stress type splitting method for nonlinear poroelasticity.
CoRR, 2023

2022
A new practical framework for the stability analysis of perturbed saddle-point problems and applications.
Math. Comput., November, 2022

Robust Approximation of Generalized Biot-Brinkman Problems.
J. Sci. Comput., 2022

Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications.
CoRR, 2022

2021
MATCOM special issue modelling 2019: International Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering.
Math. Comput. Simul., 2021

ARGOS: An adaptive refinement goal-oriented solver for the linearized Poisson-Boltzmann equation.
J. Comput. Chem., 2021

A posteriori error estimates for domain decomposition methods.
CoRR, 2021

A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics.
CoRR, 2021

2020
Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems.
Multiscale Model. Simul., 2020

Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model.
CoRR, 2020

Reliable Computer Simulation Methods for Electrostatic Biomolecular Models Based on the Poisson-Boltzmann Equation.
Comput. Methods Appl. Math., 2020

Reliable Numerical Solution of a Class of Nonlinear Elliptic Problems Generated by the Poisson-Boltzmann Equation.
Comput. Methods Appl. Math., 2020

2019
Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models.
Numer. Linear Algebra Appl., 2019

Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics.
J. Comput. Phys., 2019

Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models.
CoRR, 2019

2018
Incomplete factorization by local exact factorization (ILUE).
Math. Comput. Simul., 2018

2016
Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications.
SIAM J. Sci. Comput., 2016

Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem.
SIAM J. Numer. Anal., 2016

A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations.
Numerische Mathematik, 2016

2015
Auxiliary space multigrid method based on additive Schur complement approximation.
Numer. Linear Algebra Appl., 2015

On the stable solution of transient convection-diffusion equations.
J. Comput. Appl. Math., 2015

2014
Robust multilevel methods for quadratic finite element anisotropic elliptic problems.
Numer. Linear Algebra Appl., 2014

2013
A Subspace Correction Method for Nearly Singular Linear Elasticity Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

An Algebraic Multigrid Method Based on Matching in Graphs.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs.
SIAM J. Numer. Anal., 2013

On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems.
Comput. Vis. Sci., 2013

2012
Additive Schur Complement Approximation and Application to Multilevel Preconditioning.
SIAM J. Sci. Comput., 2012

Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods.
Comput. Methods Appl. Math., 2012

2011
On the Robustness of Two-Level Preconditioners for Quadratic FE Orthotropic Elliptic Problems.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

Additive Schur Complement Approximation for Elliptic Problems with Oscillatory Coefficients.
Proceedings of the Large-Scale Scientific Computing - 8th International Conference, 2011

2010
A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations.
Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009
Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problems.
Proceedings of the Large-Scale Scientific Computing, 7th International Conference, 2009

2008
Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods.
SIAM J. Sci. Comput., 2008

Algebraic Multigrid Based on Computational Molecules, 2: Linear Elasticity Problems.
SIAM J. Sci. Comput., 2008

A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems.
Numer. Linear Algebra Appl., 2008

On the multilevel preconditioning of Crouzeix-Raviart elliptic problems.
Numer. Linear Algebra Appl., 2008

Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems.
Computing, 2008

Multilevel preconditioning of rotated bilinear non-conforming FEM problems.
Comput. Math. Appl., 2008

2007
A Fixed-Grid Finite Element Algebraic Multigrid Approach for Interface Shape Optimization Governed by 2-Dimensional Magnetostatics.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

Multilevel Preconditioning of Rotated Trilinear Non-conforming Finite Element Problems.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007

2006
Algebraic multilevel preconditioning of finite element matrices using local Schur complements.
Numer. Linear Algebra Appl., 2006

Algebraic Multigrid Based on Computational Molecules, 1: Scalar Elliptic Problems.
Computing, 2006

Multilevel Preconditioning of 2D Rannacher-Turek FE Problems; Additive and Multiplicative Methods.
Proceedings of the Numerical Methods and Applications, 6th International Conference, 2006

2005
Computing Interpolation Weights in AMG Based on Multilevel Schur Complements.
Computing, 2005

On the Utilization of Edge Matrices in Algebraic Multigrid.
Proceedings of the Large-Scale Scientific Computing, 5th International Conference, 2005

2002
An algebraic preconditioning method for <i>M</i>-matrices: linear versus non-linear multilevel iteration.
Numer. Linear Algebra Appl., 2002

2000
Condition Numbers of Approximate Schur Complements in Two- and Three-Dimensional Discretizations on Hierarchically Ordered Grids.
Computing, 2000


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