Fast multipole method applied to Symmetric Galerkin boundary element method for 3D elasticity and fracture problems
| Autor: | Anh Duc Pham, Cyrille Chazallon, Saida Mouhoubi, Marc Bonnet |
|---|---|
| Přispěvatelé: | Laboratoire de Génie de la Conception (LGeco), Institut National des Sciences Appliquées - Strasbourg (INSA Strasbourg), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Laboratoire de mécanique des solides (LMS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2012 |
| Předmět: |
Applied Mathematics
Fast multipole method Mathematical analysis General Engineering Fracture mechanics 02 engineering and technology [SPI.MECA.SOLID]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] 01 natural sciences 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] Boundary value problem 0101 mathematics Elasticity (economics) Galerkin method Multipole expansion Boundary element method Analysis Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements Engineering Analysis with Boundary Elements, Elsevier, 2012, 36, pp.1838-1847. ⟨10.1016/j.enganabound.2012.07.004⟩ |
| ISSN: | 0955-7997 |
| Popis: | International audience; The solution of three-dimensional elastostatic problems using the Symmetric Galerkin Boundary Element Method (SGBEM) gives rise to fully-populated (albeit symmetric) matrix equations, entailing high solution times for large models. This article is concerned with the formulation and implementation of a multi-level fast multipole SGBEM (FM-SGBEM) for elastic solid with cracks. Arbitrary geometries and boundary conditions may be considered. Numerical results on test problems involving a cube, single or multiple cracks in an unbounded medium, and a cracked cylindrical solid are presented. BEM models involving up to $10^{6}$ BEM unknowns are considered, and the desirable predicted trends of the elastostatic FM-SGBEM, such as a $O(N)$ complexity per iteration, are verified. |
| Databáze: | OpenAIRE |
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