Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorFan, S. C.en
dc.contributor.authorLiu, X.en
dc.contributor.authorLee, Chi Kingen
dc.identifier.citationLiu, X., Lee, C. K., & Fan, S. C. (2002). On using enriched cover function in the Partition-of-unity method for singular boundary-value problems. Computational Mechanics, 29(3), 212-225.en
dc.description.abstractAmongst the various approaches of ‘meshless’ method, the Partition-ofunity concept married with the traditional finite-element method, namely PUFEM, has emerged to be competitive in solving the boundary-value problems. It inherits most of the advantages from both techniques except that the beauty of being ‘meshless’ vanishes. This paper presents an alternative approach to solve singular boundary-value problems. It follows the basic PUFEM procedures. The salient feature is to enhance the quality of the influence functions, either over one single nodal cover or multi-nodal-covers. In the vicinity of the singularity, available asymptotic analytical solution is employed to enrich the influence function. The beauty of present approach is that it facilitates easy replacement of the influence functions. In other words, it favors the ‘influence-function refinement’ procedure in a bid to search for more accurate solutions. It is analogous to the ‘p-version refinement’ in the traditional finite-element procedures. The present approach can yield very accurate solution without adopting refined meshes. As a result, the quantities around the singularity can be evaluated directly once the nodal values are solved. No additional post-processing is needed. Firstly, the formulation of the present PUFEM approach is described. Subsequently, illustrative examples show the application to three classical singular benchmark problems having various orders of singularity. Results obtained through mesh refinements, singlenodal- cover refinements or multi-nodal-cover refinements are compared.en
dc.format.extent29 p.en
dc.relation.ispartofseriesComputational mechanicsen
dc.rights© 2002 Springer-Verlag. This is the author created version of a work that has been peer reviewed and accepted for publication by Computational Mechanics, Springer-Verlag. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI:].en
dc.subjectDRNTU::Engineering::Civil engineering::Structures and designen
dc.titleOn using enriched cover function in the partition-of-unity method for singular boundary-value problemsen
dc.typeJournal Articleen
dc.contributor.schoolSchool of Civil and Environmental Engineeringen
dc.description.versionAccepted versionen
item.fulltextWith Fulltext-
Appears in Collections:CEE Journal Articles
Files in This Item:
File Description SizeFormat 
LCK_CM1.pdf401.99 kBAdobe PDFThumbnail

Citations 20

Updated on Mar 19, 2023

Web of ScienceTM
Citations 20

Updated on Mar 18, 2023

Page view(s) 50

Updated on Mar 22, 2023

Download(s) 20

Updated on Mar 22, 2023

Google ScholarTM




Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.