### Skapa referens, olika format (klipp och klistra)

**Harvard**

Logg, A. (2007) *Automating the finite element method*.

** BibTeX **

@article{

Logg2007,

author={Logg, Anders},

title={Automating the finite element method},

journal={Archives of Computational Methods in Engineering},

issn={1134-3060},

volume={14},

issue={2},

pages={93-138},

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.},

year={2007},

}

** RefWorks **

RT Journal Article

SR Electronic

ID 191162

A1 Logg, Anders

T1 Automating the finite element method

YR 2007

JF Archives of Computational Methods in Engineering

SN 1134-3060

VO 14

IS 2

SP 93

AB 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.

LA eng

DO 10.1007/s11831-007-9003-9

LK http://dx.doi.org/10.1007/s11831-007-9003-9

OL 30