Local Approximation from Spline Spaces on Box Meshes

Bressan Andrea; Lyche Tom

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Local Approximation from Spline Spaces on Box Meshes

机译：Local Approximation from Spline Spaces on Box Meshes

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摘要

This paper analyzes the approximation properties of spaces of piecewise tensor product polynomials over box meshes with a focus on application to isogeometric analysis. Local and global error bounds with respect to Sobolev or reduced seminorms are provided. Attention is also paid to the dependence on the degree, and exponential convergence is proved for the approximation of analytic functions in the absence of non-convex extended supports.

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来源
《Foundations of computational mathematics》 |2021年第3期|807-848|共42页
作者
Bressan Andrea; Lyche Tom;
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作者单位

Univ Pavia, Dept Math, Via Ferrata 5, I-27100 Pavia, Italy;

Univ Oslo, Dept Math, POB 1053, N-0316 Oslo, Norway;

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原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Approximation; Spline spaces; Box meshes; Quasi-interpolants; Local error bounds; Global error bounds; Anisotropic error bounds; Reduced seminorms; Isogeometric analysis;

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Local Approximation from Spline Spaces on Box Meshes

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