Implicit characteristic Galerkin method for convection-diffusion equations

This paper presents a characteristic Galerkin finite element method with an implicit algorithm for solving multidimensional, time-dependent convection -diffusion equations. The method is formulated on the basis of the combinat ion of both the precise and the implicit numerical integration procedures a iming to reference particles. The precise integration procedure with a 2(N) algorithm is taken as a tool to determine the material (Lagrangian) deriva tive of the convective function in the operator splitting procedure. The st ability analysis of the algorithm and numerical results illustrate good per formance of the present method in stability and accuracy. Copyright (C) 200 0 John Wiley & Sons, Ltd.