Publications in Scientific Journals:
M. Faustmann, J. Melenk, D. Praetorius:
"Existence of H-matrix approximants to the inverses of BEM matrices: the simple-layer operator";
Mathematics of Computation,
We consider the question of approximating the inverse W = V−1 of the Galerkin stiffness matrix V obtained by discretizing the simple-layer operator V with piecewise constant functions.
The block partitioning ofWis assumed to satisfy any of the standard admissibility criteria that are employed in connection with clustering algorithms to approximate the discrete BEM operator V.
We show thatW can be approximated by blockwise low-rank matrices such that the error decays exponentially in the block rank employed. Similar exponential approximability results are shown
for the Cholesky factorization of V.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.