Publications in Scientific Journals:
M. Karkulik, J. Melenk:
"H-matrix approximability of inverses of discretizations of the fractional Laplacian";
Advances in Computational Mathematics,
45
(2019),
2893
- 2919.
English abstract:
The integral version of the fractional Laplacian on a bounded domain is discretized by a Galerkin approximation based on piecewise linear functions on a quasiuniform 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.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10444-019-09718-5
Created from the Publication Database of the Vienna University of Technology.