Coupling techniques in boundary-combined methods for solving elliptic problems with singularities
β Scribed by Z.C. Li; T.D. Bui
- Book ID
- 108033354
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 840 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0955-7997
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The singularities near the crack tips of homogeneous materials are monotone of type r Ξ± and r Ξ± log Ξ΄ r (depending on the boundary conditions along nonsmooth domains). However, the singularities around the interfacial cracks of the heterogeneous bimaterials are oscillatory of type r Ξ± sin(Ξ΅ log r ).
By using an artiΓΏcial boundary an iteration method is designed to solve some elliptic boundary value problems with singularities. At each step of the iteration the standard ΓΏnite element method is used to solve the problems in a domain without singularities. It is shown that the iteration method is