TY - JOUR
T1 - Automated Code Generation for Discontinuous Galerkin Methods
AU - Ølgaard, Kristian Breum
AU - Logg, Anders
AU - Wells, Garth N.
PY - 2008/11/21
Y1 - 2008/11/21
N2 - 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.
AB - 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.
KW - Low-level computer code
KW - Galerkin Finite element
KW - Varying Spatial Dimensions
KW - Low-Level Computer code
KW - Galerkin Finite Element
KW - Varying Spatial Dimensions
U2 - 10.1137/070710032
DO - 10.1137/070710032
M3 - Journal article
SN - 1064-8275
VL - 31
JO - SIAM Journal on Scientific Computing
JF - SIAM Journal on Scientific Computing
IS - 2
ER -