双调和问题C0内罚近似的点误差估计

Math. Comput. Model. Pub Date : 2020-10-08 DOI:10.1090/mcom/3596

D. Leykekhman

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引用次数: 1

摘要

本文的目的是利用C0内罚方法导出双调和问题的全局和局部最佳逼近型误差估计。该分析采用了双进分解的方法，假设该域是一个凸多边形。这些证明需要对具有独立兴趣的连续问题进行局部能量估计和新的逐点格林函数估计。

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Pointwise error estimates for C0 interior penalty approximation of biharmonic problems

The aim of this paper is to derive pointwise global and local best approximation type error estimates for biharmonic problem using C0 interior penalty method. The analysis uses the technique of dyadic decompositions of the domain, which assumed to be a convex polygon. The proofs require local energy estimate and new pointwise Green’s function estimates for the continuous problem which have an independent interest.

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来源期刊

Math. Comput. Model.

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