浸入式有限元法的最优收敛分析

2009 International Conference on Environmental Science and Information Application Technology Pub Date : 2011-03-26 DOI:10.1109/ICIST.2011.5765248

Shuyan Wang, Huanzhen Chen

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引用次数: 3

摘要

基于非界面三角形单元的线性多项式和界面三角形单元的修正线性多项式，给出了浸入式界面有限元法最优收敛性的新证明。利用众所周知的双线性引理，在h1 -范数和l2 -范数破碎的情况下导出了最优阶误差估计。这个证明似乎更简洁和直接。

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The optimal convergence analysis for an immersed finite element method

We present a new proof for optimal-convergence of an immersed interface finite element method based on linear polynomials on non-interface triangular elements and modified linear polynomials on interface triangular elements. Optimal-order error estimates are derived in the broken H1-norm and L2-norm by using the well-known bilinear lemma. The proof seems to be more concise and direct.

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2009 International Conference on Environmental Science and Information Application Technology

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