MIXED FINITE ELEMENT METHODS FOR PROBLEMS WITH ROBIN BOUNDARY CONDITIONS

被引：5

作者：

Konno, Juho ^{[1
]}

Schoetzau, Dominik ^{[2
]}

Stenberg, Rolf ^{[1
]}

机构：

[1] Aalto Univ, Dept Math & Syst Anal, FIN-00076 Espoo, Finland

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2011年 / 49卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

mixed finite element methods; Robin boundary conditions; parameterized boundary conditions; a posteriori estimates; postprocessing; ELLIPTIC PROBLEMS; EQUATIONS; FAMILIES;

D O I：

10.1137/09077970X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

of second-order elliptic problems with general Robin boundary conditions, parameterized by epsilon >= 0. The estimates are robust in e, ranging from pure Dirichlet conditions to pure Neumann conditions. We also show that hybridization leads to a well-conditioned linear system. A series of numerical experiments is presented that verify our theoretical results.

引用

页码：285 / 308

页数：24

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