Low-rank approximation of elliptic boundary value problems with high-contrast coefficients
Numerical Analysis
2014-10-15 v1
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.
Keywords
Cite
@article{arxiv.1410.3717,
title = {Low-rank approximation of elliptic boundary value problems with high-contrast coefficients},
author = {M. Bebendorf},
journal= {arXiv preprint arXiv:1410.3717},
year = {2014}
}