期刊
ADVANCES IN COMPUTATIONAL MATHEMATICS
卷 45, 期 5-6, 页码 2893-2919出版社
SPRINGER
DOI: 10.1007/s10444-019-09718-5
关键词
Hierarchical matrices; Fractional Laplacian; 65N30; 65F05; 65F30; 65F50
资金
- Conicyt Chile through project FONDECYT [1170672]
- Austrian Science Fund (FWF) [F 65]
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.
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