TY - JOUR T1 - On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems JO - Journal of Computational Mathematics VL - 2 SP - 195 EP - 204 PY - 2014 DA - 2014/04 SN - 32 DO - http://doi.org/10.4208/jcm.1401-m4385 UR - https://global-sci.org/intro/article_detail/jcm/9878.html KW - WG-FEMs, discrete weak gradient, parabolic problem, error estimate. AB -

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.