C0interior penalty methods for fourth order elliptic boundary value problems on polygonal domains

Authors:
Susanne C. Brenner;Li-Yeng Sung
Affiliations:
Department of Mathematics, University of South Carolina, Columbia, SC;Department of Mathematics, University of South Carolina, Columbia, SC
Venue:
Journal of Scientific Computing
Year:
2005

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Abstract

C0 interior penalty methods for fourth order elliptic boundary value problems on polygonal domains are analyzed in this paper. A post-processing procedure that can generate C1 approximate solutions from the C0 approximate solutions is presented. New C0 interior penalty methods based on the techniques involved in the post-processing procedure are introduced. These new methods are applicable to rough right-hand sides.