ERROR ESTIMATION AND ADAPTIVITY FOR FINITE-VOLUME METHODS ON UNSTRUCTURED TRIANGULAR MESHES: ELLIPTIC HEAT TRANSFER PROBLEMS
| Autor: | Leandro S. Oliveira, Marcio Arêdes Martins, Denise Burgarelli, Ramon Molina Valle |
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| Rok vydání: | 2002 |
| Předmět: |
Numerical Analysis
Mathematical optimization Finite volume method Adaptive mesh refinement Condensed Matter Physics Computer Science Applications Mechanics of Materials Mesh generation Modeling and Simulation Norm (mathematics) Applied mathematics A priori and a posteriori Polygon mesh Boundary value problem Round-off error Mathematics |
| Zdroj: | Numerical Heat Transfer, Part B: Fundamentals. 42:461-483 |
| ISSN: | 1521-0626 1040-7790 |
| DOI: | 10.1080/10407790190054030 |
| Popis: | In this article, a simple and reliable a posteriori error estimate methodology for the finite-volume method on triangular meshes and an adaptive mesh refinement procedure are presented. The proposed error estimate employs a high-order approximation for the scalar at the triangles faces. The estimate technique does not demand expressive computational efforts and memory storage. The adaptive procedure is based on the equal distribution of the error over all the triangles, allowing for suitable local mesh refinements. The error is measured by an H 1 norm, and its convergence behavior is evaluated using four elliptic problems for which the analytical solutions are known. The error differences using analytical and estimate solutions are compared for those problems, and good performance of the adaptive procedure is verified. |
| Databáze: | OpenAIRE |
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