Automated FEM discretizations for the Stokes equation

A. R. Terrel; L. R. Scott; M. G. Knepley; R. C. Kirby

doi:10.1007/s10543-008-0178-8

Automated FEM discretizations for the Stokes equation

A. R. Terrel
, L. R. Scott
, M. G. Knepley
, R. C. Kirby

Department of Computer Science and Engineering

The University of Chicago
Texas Tech University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	389-404
Number of pages	16
Journal	BIT Numerical Mathematics
Volume	48
Issue number	2
DOIs	https://doi.org/10.1007/s10543-008-0178-8
State	Published - Jun 2008

Keywords

Finite element methods
Numerical methods
Stokes equations

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10.1007/s10543-008-0178-8

Cite this

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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.",

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AU - Terrel, A. R.

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AU - Knepley, M. G.

AU - Kirby, R. C.

PY - 2008/6

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N2 - 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.

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KW - Finite element methods

KW - Numerical methods

KW - Stokes equations

UR - https://www.scopus.com/pages/publications/49749083442

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Automated FEM discretizations for the Stokes equation

Abstract

Keywords

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