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.
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页码：285 / 308
页数：24
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