Contributions to Books:
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,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.