Data-sparse approximation to the operator-valued functions of elliptic operator
Open Access
- 1 July 2003
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 73 (247), 1297-1325
- https://doi.org/10.1090/s0025-5718-03-01590-4
Abstract
In previous papers the arithmetic of hierarchical matrices has been described, which allows us to compute the inverse, for instance, of finite element stiffness matrices discretising an elliptic operator The required computing time is up to logarithmic factors linear in the dimension of the matrix. In particular, this technique can be used for the computation of the discrete analogue of a resolventKeywords
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