Tag: virtual element method

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…

El Método del Elemento Virtual: Teoría y Aplicaciones Usando la Librería VEMLab

A talk given by A. Ortiz-Bernardin at JMC2018, October 5, 2018, Punta Arenas, Chile. EL MÉTODO DEL ELEMENTO VIRTUAL: TEORÍA Y APLICACIONES USANDO LA LIBRERÍA VEMLab Alejandro Ortiz-Bernardin*, Edgardo Olate-Sanzana* y Rodrigo Silva-Valenzuela* * Departamento de Ingeniería Mecánica – Universidad de Chile Av. Beauchef 851 – Santiago – CHILE RESUMEN En este trabajo, de carácter pedagógico,…

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

Numerical Algorithms In press. Alejandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana. 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 focused on its extensibility. The linear elastostatic and Poisson problems in two dimensions have…

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…