Fast multipole method applied to 3-D frequency domain elastodynamics
نویسندگان
چکیده
منابع مشابه
Fast multipole method applied to 3D frequency domain elastodynamics
This article is concerned with the formulation and implementation of a fast multipoleaccelerated BEM for 3-D elastodynamics in the frequency domain, based on the so-called diagonal form for the expansion of the elastodynamic fundamental solution, a multi-level strategy. As usual with the FM-BEM, the linear system of BEM equations is solved by GMRES, and the matrix is never explicitly formed. Th...
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This paper is concerned with the fast multipole boundary element method (FMBEM) in two dimensional frequency domain elastodynamics. The fast multipole method (FMM) is derived by the Galerkin vector in the elastodynamic field. The elastodynamic field is expressed as the sum of the longitudinal and transverse wave fields, and the Galerkin vector FMM is simply derived from the scalar wave FMM. Mul...
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BEM-FEM coupling is desirable for three-dimensional problems involving specific features such as (i) large or unbounded media with linear constitutive properties, (ii) cracks, (iii) critical parts of complex geometry requiring accurate stress analyses. However, for cases with a BEM discretization involving a large number NBEM of degrees of freedom, setting up the BEM contribution to the coupled...
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ژورنال
عنوان ژورنال: Engineering Analysis with Boundary Elements
سال: 2008
ISSN: 0955-7997
DOI: 10.1016/j.enganabound.2008.03.002