Tag: virtual element method

Consistent and stable meshfree Galerkin methods using the virtual element decomposition

International Journal for Numerical Methods in Engineering Volume 112, Issue 7, 2017, pp 655-684 A. Ortiz-Bernardin, A. Russo, N. Sukumar Abstract Over the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree methods are smooth (nonpolynomial functions),…

Paper Submitted: Consistent and stable meshfree Galerkin methods using the virtual element decomposition

A. Ortiz-Bernardin, A. Russo, N. Sukumar, “Consistent and stable meshfree Galerkin methods using the virtual element decomposition,” submitted. ABSTRACT Over the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree method are smooth (nonpolynomial functions),…

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…

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…