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Automated code generation for discontinuous galerkin methods

K.B. Ølgaard ; Anders Logg (Institutionen för matematiska vetenskaper, matematik) ; G.N. Wells
SIAM Journal on Scientific Computing (1064-8275). Vol. 31 (2008), 2, p. 849-864.
[Artikel, refereegranskad vetenskaplig]

A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors conventional mathematical notation, and the compiler generates efficient code in a standard programming language. This facilitates the rapid generation of efficient code for general equations in varying spatial dimensions. Key concepts underlying the compiler appr oach and the automated generation of computer code are elaborated. The approach is demonstrated for a range of common problems, including the Poisson, biharmonic, advection-diffusion, and Stokes equations. © 2008 Society for Industrial and Applied Mathematics.

Nyckelord: Code generation , Discontinuous galerkin methods , Finite element , Form compiler , Variational forms



Denna post skapades 2014-01-05. Senast ändrad 2014-09-29.
CPL Pubid: 191166

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik
Beräkningsmatematik

Chalmers infrastruktur