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Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid
A numerical scheme for the convection-diffusion-reaction (CDR) problems is studied herein. We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting ...
The nearly-optimal Petrov-Galerkin method for convection-diffusion problems
The nearly-optimal Petrov-Galerkin (NOPG) method is employed to improve finite element computation of convection-dominated transport phenomena. The design of the NOPG method for convection-diffusion is based on consideration ...