Article ID Journal Published Year Pages File Type
499382 Computer Methods in Applied Mechanics and Engineering 2008 8 Pages PDF
Abstract

We develop a modified characteristic finite volume element method for two-dimensional advection–diffusion problem in a convex spacial domain, using quasi-uniform triangular discretization and piecewise linear element. This scheme conserves mass globally, and locally on the Lagrangian space–time control volume. We give the optimal order H1-norm and optimal L2-norm error estimates. Finally we present some numerical examples.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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