Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems. (27th May 2014)

• Record Type: Journal Article
• Authors: Zhu, Ailing; Xu, Qiang; Jiang, Ziwen
• Other Names: Hao Xinan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-05-27
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/102940
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh. The optimal order error estimates in H 1 and L 2 norms are derived for the corresponding characteristics weak Galerkin finite element procedure. Numerical tests are performed and reported.