Numerical solution of the generalized Laplace equation by the boundary element method
| Autor: | R. Occhi, R. Rangogni |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Laplace's equation
Partial differential equation Discretization Mathematical model Applied Mathematics Mathematical analysis Domain (mathematical analysis) boundary element method Modelling and Simulation Modeling and Simulation generalized Laplace equation Method of fundamental solutions Fundamental Resolution Equation Boundary element method mathematical models Mathematics |
| Zdroj: | Applied Mathematical Modelling. (5):393-396 |
| ISSN: | 0307-904X |
| DOI: | 10.1016/0307-904X(87)90036-9 |
| Popis: | The boundary element method (BEM) has, in general, some advantages with respect to domain methods inasmuch as no internal discretization of the domain is required. This article shows that the generalized Laplace equation (GLE) can also be dealt with advantageously by BEM. The basic technique to achieve this consists of transforming the starting equation GLE into a constant-coefficient equation to which the standard BEM can be applied. The procedure is applied to solve numerically three test problems with known analytical solutions. |
| Databáze: | OpenAIRE |
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