Interface relaxation algorithms for BEM–BEM coupling and FEM–BEM coupling
✍ Scribed by Wael M. Elleithy; Masataka Tanaka
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 387 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
This paper presents several interface relaxation algorithms for boundary element-boundary element coupling (BEM-BEM) and for finite element-boundary element coupling (FEM-BEM). The domain of the original problem is sub-divided into sub-domains, which are modeled by the finite element or boundary element methods. The multidomain system is coupled using smoothing operators on the inter-domain boundaries. Separate computations for the BEM and FEM sub-domains and successive update of the boundary conditions at the interfaces are performed until convergence is achieved. The interface relaxation coupling algorithms preserve the nature of the FEM and BEM. Further, they do not require any access to the matrices generated by the FEM or BEM and make it easier to utilize different software in different sub-domains.
📜 SIMILAR VOLUMES
In this paper we prove an a posteriori error estimate for the symmetric coupling of finite elements and boundary elements applied to linear parabolic-elliptic interface problems. The discontinuous Galerkin method is used for the discretization in time. We present an adaptive algorithm for choosing t
## Abstract The equations produced by the finite and boundary element methods in structural mechanics are expressed in different variables and cannot be linked without modifications. Conventional coupling methods of these numerical techniques have traditionally been based on the use of classical La