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  1. Archives of Computational Methods in Engineering
  2. Archives of Computational Methods in Engineering : Volume 14
  3. Archives of Computational Methods in Engineering : Volume 14, Issue 2, June 2007
  4. Automating the Finite Element Method
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Archives of Computational Methods in Engineering : Volume 24
Archives of Computational Methods in Engineering : Volume 23
Archives of Computational Methods in Engineering : Volume 22
Archives of Computational Methods in Engineering : Volume 21
Archives of Computational Methods in Engineering : Volume 20
Archives of Computational Methods in Engineering : Volume 19
Archives of Computational Methods in Engineering : Volume 18
Archives of Computational Methods in Engineering : Volume 17
Archives of Computational Methods in Engineering : Volume 16
Archives of Computational Methods in Engineering : Volume 15
Archives of Computational Methods in Engineering : Volume 14
Archives of Computational Methods in Engineering : Volume 14, Issue 4, December 2007
Archives of Computational Methods in Engineering : Volume 14, Issue 3, September 2007
Archives of Computational Methods in Engineering : Volume 14, Issue 2, June 2007
Automating the Finite Element Method
A Fluid-Dynamic Traffic Model on Road Networks
Modelling and Simulation of Machining Processes
Archives of Computational Methods in Engineering : Volume 14, Issue 1, March 2007
Archives of Computational Methods in Engineering : Volume 13
Archives of Computational Methods in Engineering : Volume 12
Archives of Computational Methods in Engineering : Volume 11
Archives of Computational Methods in Engineering : Volume 10
Archives of Computational Methods in Engineering : Volume 9
Archives of Computational Methods in Engineering : Volume 8
Archives of Computational Methods in Engineering : Volume 7
Archives of Computational Methods in Engineering : Volume 6
Archives of Computational Methods in Engineering : Volume 5
Archives of Computational Methods in Engineering : Volume 4

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Automating the Finite Element Method

Content Provider Springer Nature Link
Author Logg, Anders
Copyright Year 2007
Abstract The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations. However, the generality of the framework provided by the finite element method is seldom reflected in implementations (realizations), which are often specialized and can handle only a small set of variational problems and finite elements (but are typically parametrized over the choice of mesh). This paper reviews ongoing research in the direction of a complete automation of the finite element method. In particular, this work discusses algorithms for the efficient and automatic computation of a system of discrete equations from a given variational problem, finite element and mesh. It is demonstrated that by automatically generating and compiling efficient low-level code, it is possible to parametrize a finite element code over variational problem and finite element in addition to the mesh.
Starting Page 93
Ending Page 138
Page Count 46
File Format PDF
ISSN 11343060
Journal Archives of Computational Methods in Engineering
Volume Number 14
Issue Number 2
e-ISSN 18861784
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2007-05-15
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword ApplicationMathematics/Computational Methods of Engineering
Content Type Text
Resource Type Article
Subject Applied Mathematics Computer Science Applications
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