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Convergence of the finite element method applied to an anisotropic phase-field model
2004
Annales mathématiques Blaise Pascal
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cedram Article mis en ligne dans le cadre du Centre de diffusion des revues académiques de mathématiques Abstract We formulate a finite element method for the computation of solutions to an anisotropic phase-field model for a binary alloy. Convergence is proved in the H 1 -norm. The convergence result holds for anisotropy below a certain threshold value. We present some numerical experiments verifying the theoretical results. For anisotropy below the threshold value we observe optimal order
doi:10.5802/ambp.186
fatcat:gazwlnvzanhmflbe3mpkpst3yy