Rodrigo Silva-Valenzuela

University of Chile · Departamento de Ingeniería Mecánica

We propose a combined nodal integration and virtual element method for compressible and nearly incompressible elasticity, wherein the strain is averaged at the nodes from the strain of surrounding virtual elements. For the strain averaging procedure, a nodal averaging operator is constructed using a generalization to virtual elements of the node‐ba...

We propose a combined nodal integration and virtual element method for compressible and nearly incompressible elasticity, wherein the strain is averaged at the nodes from the strain of surrounding virtual elements. For the strain averaging procedure, a nodal averaging operator is constructed using a generalization to virtual elements of the node-ba...

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 functions for the discretization of field variables, although the proposed scheme is applicable to any linear meshfree approximant. In our approach, th...

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 in two dimensions have been chosen as the starting stage for the development of this library. The theory o...

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 functions for the discretization of field variables, although the proposed scheme is applicable to any linear meshfree approximant. In our approach, th...

A meshfree nodal integration method presented at XV International Conference on Computational Plasticity. Fundamentals and Applications. (COMPLAS 2019).

A new approach to integrate the meshfree stiffness matrix using a combination between nodal integration and the virtual element method.

In meshfree Galerkin methods to solve partial differential equations, a cloud of nodes is used to discretize the domain. On using the nodal data, smooth, compactly-supported, non-polynomial basis functions are constructed to form the trial and test functions. Instead of using Gauss cubature points to compute the weak form integrals, use of nodal in...

En este trabajo, de carácter pedagógico, se presentan los fundamentos teóricos del método del elemento virtual para la discretización de geometrías utilizando mallas formadas por elementos que poseen un número arbitrario de lados, no necesariamente convexos. El desarrollo de este trabajo se enfoca en los problemas de elasticidad lineal y de Poisson...