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Abstract

The objective of this paper is to review the general inf±sup condition for mixed ®nite element methods and sum-marize numerical procedures (inf±sup tests) for the evaluation of the inf±sup expressions speci®c to various problem areas. The inf±sup testing of a given mixed ®nite element discretization is most important in order to assess its reliability and solution e€ectiveness. The problem areas considered are (almost) incompressible analysis of solids and ¯uids, acoustic ¯uids, the analysis of plates and shells, and the solution of convection-dominated ¯ows. Ó