Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D

被引：17

作者：

Grzhibovskis, Richards ^{[1
]}

Mikhailov, Sergey ^{[2
]}

Rjasanow, Sergej ^{[1
]}

机构：

[1] Univ Saarland, D-66123 Saarbrucken, Germany

[2] Brunel Univ, London, England

来源：

COMPUTATIONAL MECHANICS | 2013年 / 51卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Elliptic PDE; Variable coefficients; Boundary-domain integral equation; H-matrices; LBIE METHOD; MIXED BVP; APPROXIMATION; ELASTICITY;

D O I：

10.1007/s00466-012-0777-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：495 / 503

页数：9

共 18 条

[1]

[Anonymous], 1971, Approximate Calculation of Multiple Integrals

[2]

[Anonymous], MEM SOC ITAL SCI

[3]

Bebendorf M, 2000, NUMER MATH, V86, P565, DOI 10.1007/s002110000192

[4] Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation [J].