The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
โ Scribed by Rudolf Mathon and R. L. Johnston
- Book ID
- 124920758
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1977
- Tongue
- English
- Weight
- 994 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.2307/2156484
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๐ SIMILAR VOLUMES
An error bound for a quasilinear elliptic boundary value problem (including the case of nonlinear differential boundary conditions) is obtained as a positively weighted sum of the absolute defects of the operator equations. Once an approximate solution is computed, using linear programming, by minim
difference method a b s t r a c t In this paper, we consider the problem of solution uniqueness for the second order elliptic boundary value problem, by looking at its finite element or finite difference approximations. We derive several equivalent conditions, which are simpler and easier than the
This paper aims to show the existence of nontrivial solutions for discrete elliptic boundary value problems by using the "Mountain Pass Theorem". Some conditions are obtained for discrete elliptic boundary value problems to have at least two nontrivial solutions. The results obtained improve the con