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Recovery by discretization corrected particle strength exchange (DC PSE) operators

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arxiv 2204.14089 v1 pith:POVRPGTK submitted 2022-04-15 math.NA cs.CEcs.NA

Benjamin F. Zwick , George C. Bourantas , Farah Alkhatib , Adam Wittek , Karol Miller This is my paper · ORCID
classification math.NAcs.CEcs.NA
keywords methodrecoverycorrecteddiscretizationexchangeoperatorsparticlepoints
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A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is a collocation method that can be used to compute derivatives directly at nodal points, instead of by projection from Gauss points as is done in many finite element-based recovery techniques. The proposed method is truly meshless and does not require patches of elements to be defined, which makes it generally applicable to point clouds and arbitrary element topologies. Numerical examples show that the proposed method is accurate and robust.

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