# High Order Finite Element Calculations for the Cahn-Hilliard Equation

@article{Goudenge2012HighOF,
title={High Order Finite Element Calculations for the Cahn-Hilliard Equation},
author={Ludovic Gouden{\e}ge and Daniel Martin and Gr{\'e}gory Vial},
journal={Journal of Scientific Computing},
year={2012},
volume={52},
pages={294-321}
}`
• Published 4 March 2010
• Computer Science
• Journal of Scientific Computing
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 avoiding difficult computations or strategies like $\mathcal{C}^{1}$ elements, adaptive mesh refinement, multi-grid resolution or isogeometric analysis. Beyond the classical benchmarks and comparisons with other existing methods, a numerical study has been carried out to investigate the…
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