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On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems

On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems
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Year:    2014

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 195–204

Abstract

A weak Galerkin finite element method with stabilization term, which is symmetric, positive definite and parameter free, was proposed to solve parabolic equations by using weakly defined gradient operators over discontinuous functions. In this paper, we derive the optimal order error estimate in $L^2$ norm based on dual argument. Numerical experiment is conducted to confirm the theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1401-m4385

Journal of Computational Mathematics, Vol. 32 (2014), Iss. 2 : pp. 195–204

Published online:    2014-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    WG-FEMs discrete weak gradient parabolic problem error estimate.

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