13 citations · 21 across the 6 of their papers we have counts for
7 papers
A node-based uniform strain virtual element method for elastoplastic solids
Rodrigo Silva-Valenzuela, Alejandro Ortiz-Bernardin, Edoardo Artioli
A recently proposed node-based uniform strain virtual element method (NVEM) is here extended to small strain elastoplastic solids. In the proposed method, the strain is averaged at…
GPU Parallel algorithm for the generation of polygonal meshes based on terminal-edge regions
Sergio Salinas, José Ojeda, Nancy Hitschfeld +1
This paper presents a GPU parallel algorithm to generate a new kind of polygonal meshes obtained from Delaunay triangulations. To generate the polygonal mesh, the algorithm first u…
A node-based uniform strain virtual element method for compressible and nearly incompressible elasticity
A. Ortiz-Bernardin, R. Silva-Valenzuela, S. Salinas-Fernández +3
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 strai…
POLYLLA: Polygonal meshing algorithm based on terminal-edge regions
Sergio Salinas, Nancy Hitschfeld-Kahler, Alejandro Ortiz-Bernardin +1
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 a…
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
R. Silva-Valenzuela, A. Ortiz-Bernardin, N. Sukumar +2
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 max…
A volume-averaged nodal projection method for the Reissner-Mindlin plate model
Alejandro Ortiz-Bernardin, Philip Köbrich, Jack S. Hale +3
We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and tran…
Veamy: an extensible object-oriented C++ library for the virtual element method
Alejandro Ortiz-Bernardin, Catalina Alvarez, Nancy Hitschfeld-Kahler +3
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…