id: Simula.SC.110
ERROR IN ENCODING
title: On the Efficiency of Symbolic Computations Combined with Code Generation for Finite Element Methods
publication_year: 2010
abstract: Efficient and easy implementation of variational forms for finite element discretization can be accomplished with meta-programming. Using a high-level language like Python and symbolic mathematics makes an abstract problem definition possible, but the use of a low-level compiled language is vital for run-time efficiency. By generating low-level C++ code based on symbolic expressions for the discrete weak form, it is possible to accomplish a high degree of abstraction in the problem definition while surpassing the run-time efficiency of traditional hand written C++ codes. We provide several examples where we demonstrate orders of magnitude in speed-up.
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journal: ACM Transactions on Mathematical Software
volume: 37
number: 1
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publication_state: Published
simula_ou: [<Department at /simula/department/biocomp>, <Department at /simula/research/bioflows>]
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