Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method
| Autor: | Qiang Zhang, Zi-Long Wu |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Numerical Analysis
Computer simulation Oscillation Applied Mathematics Mathematical analysis General Engineering Mixed finite element method Finite element method Mathematics::Numerical Analysis Theoretical Computer Science Computational Mathematics Computational Theory and Mathematics Discontinuous Galerkin method Condensed Matter::Superconductivity Limiter Porous medium Software Extended finite element method Mathematics |
| Zdroj: | Journal of Scientific Computing. 38:127-148 |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-008-9223-7 |
| Popis: | In this paper we will consider the simulation of the local discontinuous Galerkin (LDG) finite element method for the porous medium equation (PME), where we present an additional nonnegativity preserving limiter to satisfy the physical nature of the PME. We also prove for the discontinuous ?0 finite element that the average in each cell of the LDG solution for the PME maintains nonnegativity if the initial solution is nonnegative within some restriction for the flux's parameter. Finally, numerical results are given to show the advantage of the LDG method for the simulation of the PME, in its capability to capture accurately sharp interfaces without oscillation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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