Analysis of a non-symmetric coupling of Interior Penalty DG and BEM

Details Analysis of a non-symmetric coupling of Interior Penalty DG and BEM Analysis of a non-symmetric coupling of Interior Penalty DG and BEM

2011-11-09

arxiv.org/abs/1111.2344v1

Mathematics

Numerical Analysis

Scientific paper

We analyze a non-symmetric coupling of interior penalty discontinuous Galerkin and boundary element methods in two and three dimensions. Main results are discrete coercivity of the method, and thus unique solvability, and quasi-optimal convergence. The proof of coercivity is based on a localized variant of the variational technique from [F.-J. Sayas, The validity of Johnson-N\'edel\'ec's BEM-FEM coupling on polygonal interfaces, {\em SIAM J. Numer. Anal.}, 47(5):3451--3463, 2009]. This localization gives rise to terms which are carefully analyzed in fractional order Sobolev spaces, and by using scaling arguments for rigid transformations. Numerical evidence of the proven convergence properties has been published previously.

Affiliated with

Also associated with

No associations

Rating

Analysis of a non-symmetric coupling of Interior Penalty DG and BEM does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analysis of a non-symmetric coupling of Interior Penalty DG and BEM, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis of a non-symmetric coupling of Interior Penalty DG and BEM will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-727360