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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: Impact location and quantification on an aluminum sandwich panel using principal component analysis and linear approximation with maximum entropy

Paper Accepted for Publication in Entropy V. Meruane, P. Véliz, E. López Droguett, A. Ortiz-Bernardin, “Impact location and quantification on an aluminum sandwich panel using principal component analysis and linear approximation with maximum entropy.” ABSTRACT To avoid structural failures it is of critical importance to detect, locate and quantify impact damage as soon as it…

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…

Precauciones Acerca del Uso del Elemento Beam en Simulaciones por el Método del Elemento Finito

A. Ortiz-Bernardin, “Precauciones acerca del uso del elemento beam en simulaciones por el método del elemento finito“, unpublished article. RESUMEN En este artículo se presenta la resolución numérica mediante el método del elemento finito de dos problemas de mecánica estructural, con los que se pretende precaver al diseñador de estructuras de las problemáticas que podrían…

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