Automated code generation for discontinuous Galerkin methods

Details Automated code generation for discontinuous Galerkin methods Automated code generation for discontinuous Galerkin methods

2011-04-04

arxiv.org/abs/1104.0628v1

SIAM J. Sci. Comput. 31(2), 2008, pp. 849-864

Computer Science

Mathematical Software

Scientific paper

10.1137/070710032

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.

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