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Layers and corner singularities in singularly perturbed elliptic problems

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Abstract

Some recent work and open problems are reviewed concerning the numerical solution of singularly perturbed elliptic boundary value problems whose solutions have boundary layers and corner singularities.

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Authors and Affiliations

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

    R. Bruce Kellogg

  2. Department of Mathematics, National University of Ireland Cork, Cork, Ireland

    Martin Stynes

Authors
  1. R. Bruce Kellogg
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  2. Martin Stynes
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Correspondence to R. Bruce Kellogg.

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AMS subject classification (2000)

65N15, 65N50, 35J25

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Kellogg, R., Stynes, M. Layers and corner singularities in singularly perturbed elliptic problems . Bit Numer Math 48, 309–314 (2008). https://doi.org/10.1007/s10543-008-0173-0

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  • DOI: https://doi.org/10.1007/s10543-008-0173-0

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