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

  • December 23, 2019
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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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The Virtual Element Decomposition: A New Paradigm for Developing Nodal Integration Schemes for Meshfree Galerkin Methods

  • January 24, 2019
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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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El Método del Elemento Virtual: Teoría y Aplicaciones Usando la Librería VEMLab

  • January 23, 2019
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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,

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

  • October 11, 2018
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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.

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Consistent and Stable Meshfree Galerkin Methods Using The Virtual Element Decomposition

  • July 23, 2017
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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

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Consistent, Accurate, and Stable Meshfree Galerkin Methods Based on The Virtual Element Decomposition

  • May 9, 2015
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A talk given by A. Ortiz-Bernardin at the 1st Pan-American Congress on Computational Mechanics, April 27 – 29, 20145, Buenos Aires, Argentina. Consistent, Accurate, and Stable Meshfree Galerkin Methods Based on The Virtual Element Decomposition   Alejandro Ortiz-Bernardin*, Alessandro Russo†, Natarajan Sukumar‡ * Department of Mechanical Engineering, University of Chile Av. Beauchef 850, Santiago, 8370448, Chile

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