Premium
The structure of the boundary element matrix for the three‐dimensional Dirichlet problem in elasticity
Author(s) -
Rjasanow Sergej
Publication year - 1998
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/(sici)1099-1506(199805/06)5:3<203::aid-nla133>3.0.co;2-t
Subject(s) - mathematics , dirichlet boundary condition , boundary element method , block matrix , matrix (chemical analysis) , sparse matrix , mathematical analysis , dirichlet problem , finite element method , dirichlet distribution , boundary value problem , algebraic number , eigenvalues and eigenvectors , computational chemistry , structural engineering , materials science , engineering , composite material , physics , chemistry , quantum mechanics , gaussian
The algebraic properties of the matrix arising for the three‐dimensional Dirichlet problem for Lamé equations in a rotational domain by the boundary element method are considered. The use of the special basis leads to a matrix having a block structure with sparse blocks. The possible strategies for the efficient solution of the above problem are discussed. © 1998 John Wiley & Sons, Ltd.