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C 0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains

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Abstract

C 0 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 C 1 approximate solutions from the C 0 approximate solutions is presented. New C 0 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.

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Authors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA

    Susanne C. Brenner & Li-Yeng Sung

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  1. Susanne C. Brenner
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  2. Li-Yeng Sung
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Correspondence to Susanne C. Brenner.

Additional information

Susanne C. Brenner: The work of S.C. Brenner was supported in part by the National Science Foundation under Grant Nos. DMS-00-74246 and DMS-03-11790.

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Brenner, S.C., Sung, LY. C 0 Interior Penalty Methods for Fourth Order Elliptic Boundary Value Problems on Polygonal Domains. J Sci Comput 22, 83–118 (2005). https://doi.org/10.1007/s10915-004-4135-7

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  • DOI: https://doi.org/10.1007/s10915-004-4135-7

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