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Nitsche's method for Kirchhoff plates
arXiv - CS - Numerical Analysis Pub Date : 2020-07-01 , DOI: arxiv-2007.00403
Tom Gustafsson, Rolf Stenberg, Juha Videman

We introduce a Nitsche's method for the numerical approximation of the Kirchhoff-Love plate equation under general Robin-type boundary conditions. We analyze the method by presenting a priori and a posteriori error estimates in mesh-dependent norms. Several numerical examples are given to validate the approach and demonstrate its properties.

中文翻译:

基尔霍夫板的 Nitsche 方法

我们介绍了在一般 Robin 型边界条件下对 Kirchhoff-Love 板方程进行数值逼近的 Nitsche 方法。我们通过在网格相关的范数中呈现先验和后验误差估计来分析该方法。给出了几个数值例子来验证该方法并证明其特性。
更新日期:2020-07-02
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