Numerical Treatment of Singularities in Elliptic Problems
β Scribed by STEINBERG, J.
- Book ID
- 118186244
- Publisher
- Oxford University Press
- Year
- 1980
- Tongue
- English
- Weight
- 657 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0272-4960
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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 ).
## Abstract The method of auxiliary mapping (MAM), introduced by BabuΕ‘ka and Oh, was proven to be very successful in dealing with monotone singularities arising in twoβdimensional problems. In this article, in the framework of the __p__βversion of FEM, MAM is presented for oneβdimensional elliptic