# Optimal Convergence of Higher Order Finite Element Methods for Elliptic Interface Problems

@inproceedings{Li2009OptimalCO, title={Optimal Convergence of Higher Order Finite Element Methods for Elliptic Interface Problems}, author={Jingzhi Li and Jens Markus Melenk and Barbara I. Wohlmuth and Jun Zou}, year={2009} }

Higher order finite element methods are applied to 2D and 3D second order elliptic interface problems with smooth interfaces, and their convergence is analyzed in the H1and L2-norm. The error estimates are expressed explicitly in terms of the approximation order p and a parameter δ that quantifies the mismatch between the smooth interface and the finite element mesh. Optimal H1and L2-norm convergence rates in the entire solution domain are established when the mismatch between the interface and… Expand

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