Category: Presentations

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,…

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…

Robust Meshfree Methods for Solid Mechanics Simulations

A talk given by A. Ortiz-Bernardin at the Encuentro de Elasticidad No Lineal, Homogenización y Fractura, June 23 – 24, 2015, Santiago, Chile. Robust Meshfree Methods for Solid Mechanics Simulations Alejandro Ortiz-Bernardin Department of Mechanical Engineering Universidad de Chile Av. Beauchef 851, Santiago, 8370456, Chile aortizb@ing.uchile.cl Alejandro Ortiz-Bernardin, Ph.D. ABSTRACT In this talk, I will present recent…