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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…

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…

Release of VEMLab v2.2

VEMLab: a MATLAB library for the virtual element method Release of VEMLab v2.2 >>  From VEMLab v2.1 to VEMLab v2.2: Fix disp() in plot_and_ouput_options.m: disp(“Hello”) seems to work only in newer versions of MATLAB. So, it is changed to the standard MATLAB format disp(‘Hello’). Results that are postprocessed in the graphical user interface of GiD…

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