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• W2091260418 abstract "Efficient and easy implementation of variational forms for finite element discretization can be accomplished with metaprogramming. 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 speedup." @default.
• W2091260418 created "2016-06-24" @default.
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• W2091260418 date "2010-01-01" @default.
• W2091260418 modified "2023-10-11" @default.
• W2091260418 title "On the efficiency of symbolic computations combined with code generation for finite element methods" @default.
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• W2091260418 doi "https://doi.org/10.1145/1644001.1644007" @default.
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