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}
}
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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TLDR
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