Benjamin F. Zwick, G. Bourantas, F. Alkhatib, A. Wittek, K. Miller
{"title":"Recovery by discretization corrected particle strength exchange (DC PSE) operators","authors":"Benjamin F. Zwick, G. Bourantas, F. Alkhatib, A. Wittek, K. Miller","doi":"10.48550/arXiv.2204.14089","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":7991,"journal":{"name":"Appl. Math. Comput.","volume":"48 1","pages":"127923"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Appl. Math. Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arXiv.2204.14089","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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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