Tag: virtual element decomposition

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,…

Enhancing the robustness of meshfree Galerkin methods for solid mechanics simulations using the virtual element decomposition

2018 – 2021 Principal Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1181192) Meshfree methods have several attributes that make them attractive for simulation in mechanics. Two important ones are summarized as follows. The meshfree approximation is independent of the definition of a finite element mesh — the approximation is constructed based solely on nodal locations….

Consistent and Stable Meshfree Galerkin Methods Using The Virtual Element Decomposition

A talk given by A. Ortiz-Bernardin at POEMS 2017: Workshop on Polytopal Element Methods in Mathematics and Engineering, July 6, 2017, Milan, Italy. Consistent and Stable Meshfree Galerkin Methods Using The Virtual Element Decomposition   Alejandro Ortiz-Bernardin Department of Mechanical Engineering, University of Chile Av. Beauchef 851, Santiago, 8370456, Chile aortizb@ing.uchile.cl ABSTRACT In the numerical solution…