Tag: meshfree 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…

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…

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

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…