| Autor: |
Goudenège, Ludovic, Martin, Daniel, Vial, Grégory |
| Rok vydání: |
2010 |
| Předmět: |
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| Zdroj: |
Journal of Scientific Computing. August 2012, Volume 52, Issue 2, pp 294-321 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10915-011-9546-7 |
| Popis: |
In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p-version of the finite element method proves to be very efficient and favorably compares with other existing strategies (C^1 elements, adaptive mesh refinement, multigrid resolution, etc). Beyond the classical benchmarks, a numerical study has been carried out to investigate the influence of a polynomial approximation of the logarithmic free energy and the bifurcations near the first eigenvalue of the Laplace operator. |
| Databáze: |
arXiv |
| Externí odkaz: |
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