An algorithm for the optimization of finite element integration loops.
ACM Transactions on Mathematical Software (TOMS)(2017)
摘要
We present an algorithm for the optimization of a class of finite-element integration loop nests. This algorithm, which exploits fundamental mathematical properties of finite-element operators, is proven to achieve a locally optimal operation count. In specified circumstances the optimum achieved is global. Extensive numerical experiments demonstrate significant performance improvements over the state of the art in finite-element code generation in almost all cases. This validates the effectiveness of the algorithm presented here and illustrates its limitations.
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关键词
Design,Performance,Finite element integration,local assembly,compilers,performance optimization
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