A Finite-Element Singular-Perturbation Technique for Convection-Diffusion Problems—Part 2: Two-Dimensional Problems

[+] Author and Article Information
Rafael F. Diaz-Munio, L. Carter Wellford

Department of Civil Engineering, University of Southern California, University Park, Los Angeles, Calif. 90007

J. Appl. Mech 48(2), 272-275 (Jun 01, 1981) (4 pages) doi:10.1115/1.3157609 History: Received December 01, 1979; Revised September 01, 1980; Online July 21, 2009


Approximation procedures for the solution of two-dimensional convection-diffusion problems are introduced. In these procedures finite-element techniques are utilized. The developed solution algorithms are based on a variational method of matched asymptotic expansions. When these techniques are used in conjunction with standard Galerkin methods, to solve convection-diffusion equations, highly accurate solutions are obtained. Numerical results for certain two-dimensional problems are presented to establish the accuracy of the proposed procedures.

Copyright © 1981 by ASME
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