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http://bura.brunel.ac.uk/handle/2438/7334
Title: | Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D |
Authors: | Grzhibovskis, R Mikhailov, SE Rjasanow, S |
Keywords: | Elliptic PDE;Variable coefficients;Boundary-domain integral equation;H-matrices |
Issue Date: | 2013 |
Publisher: | Springer-Verlag |
Citation: | Computational Mechanics, 51(4): 495 - 503, Apr 2013 |
Abstract: | A numerical implementation of the direct boundary-domain integral and integro-differential equations, BDIDEs, for treatment of the Dirichlet problem for a scalar elliptic PDE with variable coefficient in a three-dimensional domain is discussed. The mesh-based discretisation of the BDIEs with tetrahedron domain elements in conjunction with collocation method leads to a system of linear algebraic equations (discretised BDIE). The involved fully populated matrices are approximated by means of the H-Matrix/adaptive cross approximation technique. Convergence of the method is investigated. |
Description: | This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-Verlag |
URI: | http://link.springer.com/article/10.1007%2Fs00466-012-0777-8# http://bura.brunel.ac.uk/handle/2438/7334 |
DOI: | http://dx.doi.org/10.1007/s00466-012-0777-8 |
ISSN: | 0178-7675 |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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