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An Algorithm for the Optimization of Finite Element Integration Loops
2017
ACM Transactions on Mathematical Software
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
doi:10.1145/3054944
fatcat:kitpmlah4nbpxc2dxqt6x6y6jq