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A new proof for existence of H-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian

- Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
- Math. Comput.
- 2016

Numerical simulation of the whispering gallery modes in prolate spheriods 33/2013 N. Zamponi and A. Jüngel Global existence analysis for degenerate energy-transport models for semiconductors 32/2013 When is the error in the h-BEM for solving the Helmholtz equation bounded independently of k ? Abstract We consider the question of approximating the inverse W… (More)

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-space format of H-matrices. We show the approximability result for two types of… (More)

- Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
- Numerische Mathematik
- 2015

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