Galerkin finite element method for a class of porous medium equations
| Autor: | Koffi B. Fadimba, Robert Sharpley |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Discretization
Applied Mathematics Degenerate energy levels Mathematical analysis General Engineering Regular polygon General Medicine Computational Mathematics Discontinuous Galerkin method Regularization (physics) Bounded function Galerkin method Porous medium General Economics Econometrics and Finance Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 5:355-387 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2003.07.001 |
| Popis: | We study the numerical approximation of the Saturation Equation which arises in the formulation of two phase fluid flow through porous media, idealized as either a convex bounded polyhedral domain or a domain with smooth boundary. This equation is degenerate and the solutions are not guaranteed to be sufficiently smooth for direct numerical approximation. Through regularization, a family of approximate non-degenerate problems is considered along with their numerical approximations. Error estimates are established for appropriately transformed continuous Galerkin approximations, followed by corresponding error estimates for a fully discretized Galerkin method for this class of problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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