Godunov-mixed methods for advection-diffusion equations in multidimensions

Time-split methods for multidimensional advection-diffusion equations are considered. In these methods, advection is approximated by a Godunov-type procedure, and diffusion is approximated by a low...

[1]  C. Dawson.  Godunov-mixed methods for advective flow problems in one space dimension , 1991 .

[2]  Richard E. Ewing,et al.  Superconvergence of the velocity along the Gauss lines in mixed finite element methods , 1991 .

[3]  W. Mulder,et al.  Porous media flow on locally refined grids , 1990 .

[4]  P. Colella,et al.  A second-order projection method for the incompressible navier-stokes equations , 1989 .

[5]  A. Weiser,et al.  On convergence of block-centered finite differences for elliptic-problems , 1988 .

[6]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .

[7]  G. Chavent.  Mathematical models and finite elements for reservoir simulation , 1986 .

[8]  Mary F. Wheeler,et al.  SOME SUPERCONVERGENCE RESULTS FOR MIXED FINITE ELEMENT METHODS FOR ELLIPTIC PROBLEMS ON RECTANGULAR DOMAINS. , 1985 .

[9]  P. Colella.  A Direct Eulerian MUSCL Scheme for Gas Dynamics , 1985 .

[10]  G. R. Shubin,et al.  An analysis of the grid orientation effect in numerical simulation of miscible displacement , 1984 .

[11]  T. F. Russell,et al.  NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES* , 1982 .

[12]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[13]  P. Raviart,et al.  A mixed finite element method for 2-nd order elliptic problems , 1977 .

[14]  M. Wheeler.  A Priori L_2 Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations , 1973 .