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Release of VEMLAB 2.4.1

  • June 27, 2022
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VEMLAB: a MATLAB library for the virtual element method   Release of VEMLAB 2.4.1 >>  From VEMLAB 2.4 to VEMLAB 2.4.1: Fix some bugs in create_polygonal_mesh.m Fix several bugs in the writing of output files. Affected functions:postprocess_numerical_solution_linelast2d.mwrite_solution_txt_linelast2d.mplot_numerical_solution_poisson2d.mpostprocess_numerical_solution_poisson2d.mwrite_solution_CPP_poisson2d.mwrite_solution_txt_poisson2d.mwrite_solution_GiD_poisson2d.m Optimize function T3toPolyMesh.m Browse and get the code

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Development and assessment of a combined nodal integration and virtual element method for small and large deformation solid mechanics simulations

  • June 20, 2022
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2012 – 2025 Principal Investigator: Alejandro Ortiz-Bernardin. Project funded by CONICYT-FONDECYT (Grant Nº 1221325) Nodal integration is a numerical integration scheme for Galerkin weak forms, where the weak form integrals are sampled at the nodes. In this type of scheme, state and history-dependent variables become nodal quantities and thus in nonlinear computations they are tracked only

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POLYLLA: polygonal meshing algorithm based on terminal-edge regions

  • June 18, 2022
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Engineering with Computers Online first articles, 2022 S. Salinas-Fernández, Nancy Hitschfeld-Kahler, A. Ortiz-Bernardin, Hang Si Abstract This paper presents an algorithm to generate a new kind of polygonal mesh obtained from triangulations. Each polygon is built from a terminal-edge region surrounded by edges that are not the longest-edge of any of the two triangles that

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Release of VEMLAB 2.4

  • January 13, 2022
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VEMLAB: a MATLAB library for the virtual element method   Release of VEMLAB 2.4   >>  From VEMLAB 2.3 to VEMLAB 2.4: Add several options for in plot_and_output_options.m. New options: delete existing output files, plot front/isometric view of the figure, print and save pdf figures, save .fig figures, set figure resolution, color system for the

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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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