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.

中文翻译：

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双调和问题的 $C^0$ 内罚近似的逐点误差估计

本文的目的是使用 C0 内罚法导出双调和问题的逐点全局和局部最佳近似类型误差估计。该分析使用域的二元分解技术，域假定为凸多边形。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。