Boundary methods: A criterion for completeness
- 1 August 1980
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 77 (8) , 4395-4398
- https://doi.org/10.1073/pnas.77.8.4395
Abstract
The application of methods which constitute an alternative to boundary integral equations to specific problems depends on development of complete systems of solutions, convergence of approximating procedures, and formulation of variational principles. This paper establishes a criterion for completeness. In this manner, greater flexibility of the theory is achieved; for example, systems of functions which are complete for different types of boundary conditions are developed.Keywords
This publication has 3 references indexed in Scilit:
- Connectivity as an alternative to boundary integral equations: Construction of basesProceedings of the National Academy of Sciences, 1978
- Theory of connectivity for formally symmetric operatorsProceedings of the National Academy of Sciences, 1977
- General variational principles applicable to the hybrid element methodProceedings of the National Academy of Sciences, 1977