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SIAM J. on Numerical Analysis / Volume 49 / Issue 1

SIAM J. Numer. Anal. 49, pp. 285-308 (24 pages)

Mixed Finite Element Methods for Problems with Robin Boundary Conditions

Juho Könnö, Dominik Schötzau, and Rolf Stenberg

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We derive new a priori and a posteriori error estimates for mixed finite element discretizations of second-order elliptic problems with general Robin boundary conditions, parameterized by $\varepsilon\geq0$. The estimates are robust in $\varepsilon$, 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.

© 2011 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

65N30, 65N15

PUBLICATION DATA

ISSN

0036-1429 (print)  
1095-7170 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received December 11, 2009
Accepted November 10, 2010
Published online February 15, 2011
Digital Object Identifier
http://dx.doi.org/10.1137/09077970X

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