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Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator
2016
IMA Journal of Numerical Analysis
We consider discretizations of the hyper-singular integral operator on closed surfaces and show that the inverses of the corresponding system matrices can be approximated by blockwise low-rank matrices at an exponential rate in the block rank. We cover in particular the data-sparse format of H-matrices. We show the approximability result for two types of discretizations. The first one is a saddle point formulation, which incorporates the constraint of vanishing mean of the solution. The second
doi:10.1093/imanum/drw024
fatcat:ztpqdljdwnetbngamqxzv6ze6m