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Gauss-Legendre elements: a stable, higher order non-conforming finite element family

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Abstract

We consider the non-conforming Gauss-Legendre finite element family of any even degree k≥4 and prove its inf-sup stability without assumptions on the grid. This family consists of Scott-Vogelius elements where appropriate k-th-degree non-conforming bubbles are added to the velocities – which are trianglewise polynomials of degree k.

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Authors and Affiliations

  1. Department of Appl. Mathematics and Probability Theory, University of Debrecen, Egyetem tér 1, 4032, Debrecen, Hungary

    Á. Baran

  2. Department of Numer. Analysis, ELTE University Budapest, Pázmány P. sétány 1/C, 1117, Budapest, Hungary

    G. Stoyan

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  1. Á. Baran
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  2. G. Stoyan
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Correspondence to Á. Baran.

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Baran, Á., Stoyan, G. Gauss-Legendre elements: a stable, higher order non-conforming finite element family. Computing 79, 1–21 (2007). https://doi.org/10.1007/s00607-007-0219-1

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  • DOI: https://doi.org/10.1007/s00607-007-0219-1

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