5 Result(s)
within
Johannes Kraus
Mathematics
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Article
Robust Approximation of Generalized Biot-Brinkman Problems
The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks and can be used to study complex poromechanical interac...
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Chapter and Conference Paper
Auxiliary Space Multigrid Method for Elliptic Problems with Highly Varying Coefficients
The robust preconditioning of linear systems of algebraic equations arising from discretizations of partial differential equations (PDE) is a fastly develo** area of scientific research. In many applications...
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Article
A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
We consider multigrid methods for discontinuous Galerkin \(H({\text {div}},\Omega )\) ...
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Article
On the robustness and optimality of algebraic multilevel methods for reaction–diffusion type problems
This paper is on preconditioners for reaction–diffusion problems that are both, uniform with respect to the reaction–diffusion coefficients, and optimal in terms of computational complexity. The considered pre...
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Chapter and Conference Paper
An Algebraic Multigrid Method Based on Matching in Graphs
We present an Algebraic Multigrid (AMG) method for graph Laplacian problems. The coarse graphs are constructed recursively by pair-wise aggregation, or matching as in [3] and we use an Algebraic Multilevel Ite...
