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Hierarchical Preconditioners for High-Order FEM

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Domain Decomposition Methods in Science and Engineering XXII

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 104))

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Abstract

The finite element discretization of partial differential equations (PDEs) requires the selection of suitable finite element spaces. While high-order finite elements often lead to solutions of higher accuracy, their associated discrete linear systems of equations are often more difficult to solve (and to set up) compared to those of lower order elements.

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Correspondence to Sabine Le Borne .

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Le Borne, S. (2016). Hierarchical Preconditioners for High-Order FEM. In: Dickopf, T., Gander, M., Halpern, L., Krause, R., Pavarino, L. (eds) Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-319-18827-0_57

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