Skip Navigation



IMA Journal of Numerical Analysis Advance Access published online on April 7, 2009
IMA Journal of Numerical Analysis, doi:10.1093/imanum/drn081
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Burman, E.
Right arrow Articles by Hansbo, P.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Interior-penalty-stabilized Lagrange multiplier methods for the finite-element solution of elliptic interface problems

Erik Burman

Institute of Analysis and Scientific Computing, Ecole Polytechnique Federale de Lausanne, Station 8 CH-1015 Lausanne, Switzerland

Peter Hansbo{dagger}

Department of Mathematical Sciences, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden

{dagger} Corresponding author. Email: hansbo{at}am.chalmers.se

Received on 12 June 2008. Revised on 4 November 2008.


  Abstract

In this paper we propose a class of jump-stabilized Lagrange multiplier methods for the finite-element solution of multidomain elliptic partial differential equations using piecewise-constant or continuous piecewise-linear approximations of the multipliers. For the purpose of stabilization we use the jumps in derivatives of the multipliers or, for piecewise constants, the jump in the multipliers themselves, across element borders. The ideas are illustrated using Poisson's equation as a model, and the proposed method is shown to be stable and optimally convergent. Numerical experiments demonstrating the theoretical results are also presented.

Key Words: interface problem; non-matching grids; edge stabilization


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.