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Paper Published in the ICCS 2020: Convex polygon packing based meshing algorithm for modeling of rock and porous media

  • June 30, 2020
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Paper Accepted for Publication in ICCS 2020: Computational Science – ICCS 2020 J. Torres, N. Hitschfeld, R. O. Ruiz and A. Ortiz-Bernardin, “Convex Polygon Packing Based Meshing Algorithm for Modeling of Rock and Porous Media.” ABSTRACT In this work, we propose new packing algorithm designed for the generation of polygon meshes to be used for modeling

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Sample of two-dimensional nodal cells used in nodal integration

Accepted Paper: A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

  • December 18, 2019
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Paper Accepted for Publication in International Journal for Numerical Methods in Engineering R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli,  N. Hitschfeld-Kahler, “A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition” ABSTRACT In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical

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Sample of two-dimensional nodal cells used in nodal integration

A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

  • December 18, 2019
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International Journal for Numerical Methods in Engineering Vol. 121, No. 10, pp. 2174-2205, 2020 R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar, E. Artioli,  N. Hitschfeld-Kahler Abstract In this paper, we present a novel nodal integration scheme for meshfree Galerkin methods that draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis

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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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Veamy: an extensible object-oriented C++ library for the virtual element method

  • December 24, 2018
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Numerical Algorithms Vol. 82, pp. 1189-1220, 2019 A. Ortiz-Bernardin, C. Alvarez, N. Hitschfeld-Kahler, A. Russo, R. Silva-Valenzuela, E. Olate-Sanzana Abstract This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is focused on its extensibility. The linear elastostatic and Poisson problems

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Accepted Paper: Veamy: an extensible object-oriented C++ library for the virtual element method

  • December 24, 2018
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Paper Accepted for Publication in Numerical Algorithms Aleandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler, Alessandro Russo, Rodrigo Silva-Valenzuela, Edgardo Olate-Sanzana, “Veamy: an extensible object-oriented C++ library for the virtual element method” ABSTRACT This paper summarizes the development of Veamy, an object-oriented C++ library for the virtual element method (VEM) on general polygonal meshes, whose modular design is

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Release of VEMLab v2.2.1 (now it runs in Octave!)

  • October 20, 2018
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VEMLab: a MATLAB library for the virtual element method Release of VEMLab v2.2.1 >>  From VEMLab v2.2 to VEMLab v2.2.1: Add option to explicitly switch off all MATLAB figures in function “plot_and_output_options.m”. Facilitate compatibility to run VEMLab in Octave. Update manual with a guide to running VEMLab in Octave. Browse and get the code  

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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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