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Authordc.contributor.authorOrtiz Bernardin, Alejandro 
Authordc.contributor.authorRusso, A. 
Authordc.contributor.authorSukumar, N. 
Cita de ítemdc.identifier.citationInt. J. Numer. Meth. Engng 2017; 112:655–684es_ES
Abstractdc.description.abstractOver the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree methods are smooth (nonpolynomial functions), and they do not rely on an underlying mesh structure for their construction. These features render meshfree methods to be particularly appealing for higher-order PDEs and for large deformation simulations of solid continua. However, a deficiency that still persists in meshfree Galerkin methods is the inaccuracies in numerical integration, which affects the consistency and stability of the method. Several previous contributions have tackled the issue of integration errors with an eye on consistency, but without explicitly ensuring stability. In this paper, we draw on the recently proposed virtual elementmethod, to present a formulation that guarantees both the consistency and stability of the approximate bilinear form.We adopt maximum-entropy meshfree basis functions, but other meshfree basis functions can also be used within this framework. Numerical results for several two-dimensional and three-dimensional elliptic (Poisson and linear elastostatic) boundary-value problems that demonstrate the effectiveness of the proposed formulation are presented.es_ES
Patrocinadordc.description.sponsorshipNational Science Foundation grant CMMI-1334783 to the University of California at Davis.es_ES
Type of licensedc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile*
Link to Licensedc.rights.uri*
Sourcedc.sourceInternational Journal for Numerical Methods in Engineeringes_ES
Keywordsdc.subjectMeshfree Galerkinmethodses_ES
Keywordsdc.subjectMaximum entropy approximantses_ES
Keywordsdc.subjectNumerical integrationes_ES
Keywordsdc.subjectVirtual element methodes_ES
Keywordsdc.subjectPatch testes_ES
Títulodc.titleConsistent and stable meshfree Galerkin methods using the virtual element decompositiones_ES
Document typedc.typeArtículo de revista
Indexationuchile.indexArtículo de publicación ISIes_ES

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Attribution-NonCommercial-NoDerivs 3.0 Chile
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile