A modified weak Galerkin finite element method for a class of parabolic problems

• Autores: Fuzheng Gao, Xiaoshen Wang
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 271, Nº 1, 2014, págs. 1-19
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.03.028
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• Resumen

  • In this paper, we consider the solution of parabolic equation using the modified weak Galerkin finite element procedure, which is named as MWG-FEM, based on the conception of the modified weak derivative over discontinuous functions with heterogeneous properties, in which the classical gradient operator is replaced by a modified weak gradient operator. Optimal order error estimates in a discrete L2 norm and H1 norm are established for the corresponding modified weak Galerkin finite element solutions. Finally, we numerically verify the convergence theory for the MWG-FEM through some examples.