Interrelated fundamental solutions for various heterogeneous potential, wave and advective-diffusive problems
| Autor: | G. Steven Gipson, Richard Paul Shaw |
|---|---|
| Rok vydání: | 1995 |
| Předmět: |
Differential equation
Process (engineering) Applied Mathematics Numerical analysis Mathematical analysis General Engineering Rotational symmetry Integral equation Computational Mathematics Elliptic partial differential equation Method of fundamental solutions Boundary element method Analysis Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements. 16:29-33 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/0955-7997(95)00056-9 |
| Popis: | The Green's fundamental solutions for several second order elliptic partial differential equations governing various physical processes are found to be interrelated. These solutions are required for boundary integral equation formulations. Thus a solution for one such process is essentially a solution for several others. This is particularly useful for heterogeneous media where the catalog of existing fundamental solutions is meager. After a discussion of these relationships, a new class of two dimensional fundamental solutions involving axisymmetric material variations is given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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