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.
Convergence of Variational Regularization Methods for Imaging on Riemannian Manifolds
Order of convergence of the finite element method for the $p(x)-$Laplacian
On the convergence of the quadratic method
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