Numerical methods for fourth-order nonlinear elliptic boundary value problems
β Scribed by C. V. Pao
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 199 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0749-159X
- DOI
- 10.1002/num.1016
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π SIMILAR VOLUMES
## Abstract In this paper, we obtain a sequence of approximate solution converging uniformly to the exact solution of a class of fourthβorder nonlinear boundary value problems. Its exact solution is represented in the form of series in the reproducing kernel space. The __n__βterm approximation __u_
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 ).