Spectral multidomain approximation of elliptic problems with mixed conditions on the interfaces |
| |
Authors: | F. Pasquarelli |
| |
Affiliation: | (1) Dipartimento di Matematica, Università Cattolica Via Trieste 17, 25121 Brescia, Italy |
| |
Abstract: | The multidomain technique for elliptic problems, that allows the fulfillment of the interface conditions by means of a suitable combination of the continuity of the solution and of its normal derivative, is considered. Some choices of this combination are investigated and, in particular, a choice that allows the solution of the multidomain problem through two solutions for each subproblem, is proposed. The scheme has been discretized with a collocation method and some numerical tests are reported. Moreover the method is compared with the more classical Dirichlet/Neumann one as well as with the capacitance matrix method.This research has been supported by a grant from M.P.I. (40%). |
| |
Keywords: | Spectral method elliptic multidomain method parallel computation |
本文献已被 SpringerLink 等数据库收录! |
|