Tag: virtual element method

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…

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

Paper Accepted for Publication in the International Journal for Numerical Methods in Engineering A. Ortiz-Bernardin, A. Russo, N. Sukumar, “Consistent and stable meshfree Galerkin methods using the virtual element decomposition.” 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…

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),…