A weakly over-penalized symmetric interior penalty method

A weakly over-penalized symmetric interior penalty method

We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonco...

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Veröffentlicht in:Electronic transactions on numerical analysis 2008-01, Vol.30, p.107
Hauptverfasser: Brenner, Susanne C, Owens, Luke, Sung, Li-Yeng
Format: Artikel
Sprache:eng
Schlagworte:
Curves, Elliptic
Ellipse
Evaluation
Mathematical research
Symmetric functions
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Zusammenfassung:We introduce a new symmetric interior penalty method for symmetric positive definite second order elliptic boundary value problems, where the jumps across element boundaries are weakly over-penalized. Error estimates are derived in the energy norm and the [L.sub.2] norm for both conforming and nonconforming meshes. Numerical results illustrating the performance of the method are also presented. Key words. symmetric interior penalty method, weak over-penalization AMS subject classifications. 65N30
ISSN:1068-9613
1097-4067