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AUTOMATED CODE GENERATION FOR DISCONTINUOUS GALERKIN METHODS

delete2009-01-01
delete34
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OA
AI
K
Kristian B. Ølgaard *
A
Anders Logg
G
Garth N. Wells
DOI:10.1137/070710032delete
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摘要

摘要

En 中文
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 approach 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.
Keyword:
variational forms
discontinuous Galerkin methods
finite element
form compiler
code generation

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

D
Delft University of Technology
学者数:
2.6W
论文数: 2.5W
被引数: 3.8W
U
university of oslo
学者数:
4.2W
论文数: 3.5W
被引数: 53
U
University of Cambridge
学者数:
7.7W
论文数: 7.1W
被引数: 13.7W
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