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• W2516187823 abstract "The higher-order accurate numerical integration of geometries that are implicitly defined by level-set functions is considered. A higher-order background mesh is employed providing an interpolation of the level-set function by Lagrangian shape functions. The integration may take place on the zero-level set or in the domains defined by the sign of the level-set function. This work is a follow-up of Fries and Omerović (Int J Numer Methods Eng, doi:10.1002/nme.5121). Herein, it is shown that special distributions of the element nodes, which are optimized for integration, yield significantly better results than equally-spaced nodes. Different error norms are proposed which allow to investigate the accuracy of general implicit geometries in two and three dimensions." @default.
• W2516187823 created "2016-09-16" @default.
• W2516187823 creator A5084392031 @default.
• W2516187823 date "2016-01-01" @default.
• W2516187823 modified "2023-10-11" @default.
• W2516187823 title "Higher-Order Accurate Integration for Cut Elements with Chen-Babuška Nodes" @default.
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• W2516187823 doi "https://doi.org/10.1007/978-3-319-41246-7_12" @default.
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