A robust WG finite element method for convection-diffusion-reaction equations

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• 作者：Gang Chen ^{569615491@qq.com} ; Minfu Feng ; ^fmf@wtjs.cn ; Xiaoping Xie ^{xpxie@scu.edu.cn}
• 关键词：65M60 ; 65N30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：107-125
• 全文大小：1291 K
• 卷排序：315

文摘

This paper proposes and analyzes a weak Galerkin (WG) finite element method for 2- and 3-dimensional convection–diffusion–reaction problems on conforming or nonconforming polygon/polyhedral meshes. The WG method uses piecewise-polynomial approximations of degrees k(k≥0) for both the scalar function and its trace on the inter-element boundaries. We show that the method is robust in the sense that the derived a priori error estimates is uniform with respect to the coefficients for sufficient smooth true solutions. Numerical experiments confirm the theoretical results.