On the Solution of the Time-Dependent Convection-Diffusion Equation by the Finite Element Method

Juan C. Heinrich, Yu Chung-Chyi


A Petrov-Galerkin finite element method is presented for the time-dependent convection-diffusion equation. The scheme is based on bilinear time-space trial and quadratic in time-linear in space test functions, the latter being non-conforming.
Secondorder in time and third order in space accuracy is obtained, and the schemesare free of numerical diffusion and dispersion effects. Numerical results are presented
which show excellent approximation properties.

Full Text:


Asociación Argentina de Mecánica Computacional
Güemes 3450
S3000GLN Santa Fe, Argentina
Phone: 54-342-4511594 / 4511595 Int. 1006
Fax: 54-342-4511169
E-mail: amca(at)santafe-conicet.gov.ar
ISSN 2591-3522