TY - JOUR
T1 - On $L^2$ Error Estimate for Weak Galerkin Finite Element Methods for Parabolic Problems
AU - Fuzheng Gao & Lin Mu
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 - <p style="text-align: justify;">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.</p>