A second order characteristic finite element scheme for convection-diffusion problems

Numerische Mathematik

Volumn 92, Issue 1, 2002, Pages 161-177

  Rui, Hongxing ^a   Tabata, Masahisa ^b  

^a SHANDONG UNIVERSITY   (China)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036022626     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110100364     Document Type: Article

References (7)

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2. J. Douglas Jr., T. F. Russell, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element of finite difference procedures. SIAM J. Numer. Anal. 19 (1982), 871-885
3. O. Pironneau, On the transport-diffusion algorithm and its application to the Navier-Stokes equations. Numer. Math. 38 (1982), 309-332
4. O. Pironneau, Finite Element Methods for Fluids. John Wiley & Sons, Chichester, 1989
5. O. Pironneau, J. Liou and T. Tezduyar, Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equations with time-dependent domains. Comput. Methods Appl. Mech. Engrg. 100 (1992), 117-141
6. T. F. Russell, Time stepping along characteristics with incomplete iteration for a Galerkin approximate of miscible displacement in porous media. SIAM J. Numer. Anal. 22 (1985), 970-1013
7. E. Süli, Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations, Numer. Math. 53 (1988), 459-483