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Spectral element methods on unstructured meshes: which interpolation points?

机译:非结构化网格上的光谱元素方法:哪些插值点?

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In the field of spectral element approximations, the interpolation points can be chosen on the basis of different criteria, going from the minimization of the Lebesgue constant to the simplicity of the point generation procedure. In the present paper, we summarize some recent nodal distributions for a high order interpolation in the triangle. We then adopt these points as approximation points for the numerical solution of an elliptic partial differential equation on an unstructured simplicial mesh. The L 2-norm of the approximation error is then analyzed for a model problem.
机译:在频谱元素近似领域,可以根据不同的标准选择内插点,从最小化Lebesgue常数到简化点生成过程。在本文中,我们总结了三角形中高阶插值的一些最新节点分布。然后,我们将这些点作为非结构化简单网格上椭圆型偏微分方程数值解的近似点。然后针对模型问题分析逼近误差的L 2 范数。

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