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An Intrinsically Parallel Finite Element Method

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Abstract

We show that the weakly over-penalized symmetric interior penalty (WOPSIP) method has high intrinsic parallelism.

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References

  1. Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L.D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39, 1749–1779 (2001/02)

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  2. Brenner, S.C., Gudi, T., Sung, L.-Y.: A posteriori error control for a weakly over-penalized symmetric interior penalty method. J. Sci. Comput. 40, 37–50 (2009)

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  3. Brenner, S.C., Owens, L., Sung, L.-Y.: A weakly over-penalized symmetric interior penalty method. Electron. Trans. Numer. Anal. 30, 107–127 (2008)

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  4. Owens, L.: Multigrid methods for weakly over-penalized interior penalty methods. PhD thesis, University of South Carolina (2007)

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    S. C. Brenner & L.-Y. Sung

  2. Center for Computation and Technology, Louisiana State University, Baton Rouge, LA, 70803, USA

    S. C. Brenner & T. Gudi

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

    L. Owens

Authors
  1. S. C. Brenner
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  2. T. Gudi
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  3. L. Owens
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  4. L.-Y. Sung
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Corresponding author

Correspondence to S. C. Brenner.

Additional information

The work of the first author was supported in part by the National Science Foundation under Grant No. DMS 07-38028 and Grant No. DMS-07-13835. The work of the fourth author was supported in part by the National Science Foundation under Grant No. DMS-07-13835.

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Brenner, S.C., Gudi, T., Owens, L. et al. An Intrinsically Parallel Finite Element Method. J Sci Comput 42, 118 (2010). https://doi.org/10.1007/s10915-009-9318-9

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  • DOI: https://doi.org/10.1007/s10915-009-9318-9

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