A Spectral Method for Convection-Diffusion Equations

A Finite Element Method for Time-dependent Convection-diffusion Equations

We present a finite element method for time-dependent convectiondiffusion equations. The method is explicit and is applicable with piecewise polynomials of degree n > 2 . In the limit of zero diffusion, it reduces to a recently analyzed finite element method for hyperbolic equations. Near optimal error estimates are derived. Numerical results are given.

Convergence analysis of a multigrid method for convection-diffusion equations

A Two-Level Variational Multiscale Method for Convection-Diffusion Equations

This paper studies the error in, the efficient implementation of and time stepping methods for a variational multiscale method (VMS) for solving convectiondominated problems. The VMS studied uses a fine mesh C 0 finite element space Xh to approximate the concentration and a coarse mesh discontinuous vector finite element space LH for the large scales of the flux in the two scale discretization....

A robust and parallel Multigrid Method for Convection Diffusion Equations

We present a multigrid method for the solution of convection diffusion equations that is based on the combination of recursive substructuring techniques and the discretization on hierarchical bases and generating systems. Robustness of the resulting method, at least for a variety of benchmark problems, is achieved by a partial elimination between certain "coarse grid unknowns". The choice of th...

A CCD-ADI method for unsteady convection-diffusion equations

With a combined compact difference scheme for the spatial discretization and the CrankNicolson scheme for the temporal discretization, respectively, a high-order alternating direction implicit method (ADI) is proposed for solving unsteady two dimensional convectiondiffusion equations. The method is sixth-order accurate in space and second-order accurate in time. The resulting matrix at each ADI...