M. Karkulik, J. Melenk:

"H-matrix approximability of inverses of discretizations of the fractional Laplacian";

in: "ASC Report 25/2018", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2018, ISBN: 978-3-902627-11-7, 1 - 30.

The integral version of the fractional Laplacian on a bounded domain is discretized by a Galerkin approximation based on piecewise linear functions on a quasi-uniform mesh. We show that the inverse of the associated stiﬀness matrix can be approximated by blockwise low-rank matrices at an exponential rate in the block rank.

http://www.asc.tuwien.ac.at/preprint/2018/asc25x2018.pdf

Created from the Publication Database of the Vienna University of Technology.