A Weak Galerkin Finite Element Method for Solving Nonlinear Convection–Diffusion Problems in One Dimension

Author:

Cheichan Mohammed S.,Kashkool Hashim A.,Gao Fuzheng

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference24 articles.

1. Wei, H.J., Chun, T.S.: Galerkin partial upwind finite element scheme for convection–diffusion equations. Math. Numer. Sin. 14, 446–459 (1992)

2. Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, New York (1978)

3. Condina, R.: On stabilized finite element method for linear system of convection–diffusion–rection equation. J. Comput. Appl. Math. 188, 61–82 (2000)

4. Knoboloch, P.: Numerical solution of convection–diffusion equations using a nonlinear method of upwind type. J. Sci. Comput. 43, 454–470 (2010)

5. Feistaner, M., Felcman, J., Medvidova, M.L., Warnecke, G.: Error estimate for a combined finite volume-finite element method for nonlinear convection–diffusion problem. SIAM J. Numer. Anal. 36, 1528–1548 (1999)

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