Automated FEM discretizations for the Stokes equation |
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| Authors: | AR Terrel LR Scott MG Knepley RC Kirby |
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| Institution: | (1) Department of Computer Science, University of Chicago, 1100 E 58th St, Chicago, IL 60637, USA;(2) Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Building 221, Argonne, IL 60439-4844, USA;(3) Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA |
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| Abstract: | Current FEM software projects have made significant advances in various automated modeling techniques. We present some of
the mathematical abstractions employed by these projects that allow a user to switch between finite elements, linear solvers,
mesh refinement and geometry, and weak forms with very few modifications to the code. To evaluate the modularity provided
by one of these abstractions, namely switching finite elements, we provide a numerical study based upon the many different
discretizations of the Stokes equations.
AMS subject classification (2000) 74S05, 65Y99, 35Q30 |
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| Keywords: | numerical methods finite element methods Stokes equations |
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