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A Meshfree Nodal Integration Method for Elastic and Elastoplastic Applications Using The Virtual Element Decomposition

A talk given by A. Ortiz-Bernardin at COMPLAS 2019, September 3, 2019, Barcelona, Spain. A MESHFREE NODAL INTEGRATION METHOD FOR ELASTIC AND ELASTOPLASTIC APPLICATIONS USING THE VIRTUAL ELEMENT DECOMPOSITION A. ORTIZ-BERNARDIN a, E. ARTIOLI b, AND R. SILVA-VALENZUELA a Abstract. In meshfree Galerkin methods to solve partial differential equations, a cloud of nodes is used…

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Sample of two-dimensional nodal cells used in nodal integration

Accepted Paper: A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

Paper Accepted for Publication in International Journal for Numerical Methods in Engineering R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli,  N. Hitschfeld-Kahler, “A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition” ABSTRACT In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical…

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The Virtual Element Decomposition: A New Paradigm for Developing Nodal Integration Schemes for Meshfree Galerkin Methods

A talk given by A. Ortiz-Bernardin at WONAPDE 2019, January 22, 2019, Concepción, Chile. THE VIRTUAL ELEMENT DECOMPOSITION: A NEW PARADIGM FOR DEVELOPING NODAL INTEGRATION SCHEMES FOR MESHFREE GALERKIN METHODS R. SILVA-VALENZUELA a, A. ORTIZ-BERNARDIN a, N. SUKUMAR b AND E. ARTIOLI c Abstract. In meshfree Galerkin methods to solve partial differential equations, a cloud of nodes…

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Accepted Paper: Veamy: an extensible object-oriented C++ library for the virtual element method

Paper Accepted for Publication in Numerical Algorithms Aleandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana, “Veamy: an extensible object-oriented C++ library for the virtual element method” ABSTRACT This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is…

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Release of VEMLab v2.2.1 (now it runs in Octave!)

VEMLab: a MATLAB library for the virtual element method Release of VEMLab v2.2.1 >>  From VEMLab v2.2 to VEMLab v2.2.1: Add option to explicitly switch off all MATLAB figures in function “plot_and_output_options.m”. Facilitate compatibility to run VEMLab in Octave. Update manual with a guide to running VEMLab in Octave. Browse and get the code  

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