Low-rank approximation of elliptic boundary value problems with high-contrast coefficients

2014/10/14 by Bebendorf, M. · 1 citation
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1410.3717

Abstract

We analyze the convergence of degenerate approximations to Green's function of elliptic boundary value problems with high-contrast coefficients. It is shown that the convergence is independent of the contrast if the error is measured with respect to suitable norms. This lays ground to fast methods (so-called hierarchical matrix approximations) which do not have to be adapted to the coefficients.

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• On low-dimensional approximation of function spaces of interior regularity

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