Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2023-01-12 DOI:10.5802/crmath.424

Volker Kempf

引用次数: 0

Abstract

The Brezzi–Douglas–Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in L 2 , the other considering parallelotopes with estimates in terms of L p -norms. This contribution provides generalized estimates for anisotropic simplices for the L p case, 1≤p≤∞, and shows new estimates for anisotropic prisms with triangular base.

查看原文本刊更多论文

各向异性简单体和棱镜上的Brezzi-Douglas-Marini插值

最近的两篇论文分析了各向异性元素上的Brezzi-Douglas-Marini插值误差，第一篇论文关注的是具有l2估计的简单体，另一篇论文考虑了具有L p -范数估计的平行四边形。这一贡献提供了L p(1≤p≤∞)情况下各向异性简单体的广义估计，并给出了三角形基底的各向异性棱镜的新估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.