A Rigorously Justified Robust Algebraic Preconditioner for High-contrast Diffusion Problems

@inproceedings{Aksoylu2008ARJ,
  title={A Rigorously Justified Robust Algebraic Preconditioner for High-contrast Diffusion Problems},
  author={Burak Aksoylu and Hector Klie and Ivan G. Graham and Robert Scheichl},
  year={2008}
}
In this paper we analyse the robustness of (algebraic) multigrid preconditioners applied to linear systems arising from finite element approximations of elliptic PDEs with high-contrast coefficients. Problems with high-contrast coefficients are ubiquitous in porous media flow applications. Consequently, development of efficient solvers for high-contrast heterogeneous media has been an active area of research. Here we are particularly concerned with the convergence of a family of algebraic… CONTINUE READING
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