A modified weak Galerkin finite element method

• Autores: X. Wang, N. S. Malluwawadu, F. Gao, T. C. McMillan
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 271, Nº 1, 2014, págs. 319-327
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.04.014
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• Resumen

  • In this paper we introduce a new discrete weak gradient operator and a new weak Galerkin (WG) finite element method for second order Poisson equations based on this new operator.

    This newly defined discrete weak gradient operator allows us to use a single stabilizer which is similar to the one used in the discontinuous Galerkin (DG) methods without having to worry about choosing a sufficiently large parameter. In addition, we will establish the optimal convergence rates and validate the results with numerical examples.