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Article Dans Une Revue Journal of Scientific Computing Année : 2012

High order finite element calculations for the deterministic Cahn-Hilliard equation

Résumé

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.
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Dates et versions

hal-00461231 , version 1 (04-03-2010)

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Ludovic Goudenège, Daniel Martin, Grégory Vial. High order finite element calculations for the deterministic Cahn-Hilliard equation. Journal of Scientific Computing, 2012, 52 (2), pp.294-321. ⟨10.1007/s10915-011-9546-7⟩. ⟨hal-00461231⟩
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