Browsing by Subject "Virtual element method"

Now showing items 1-4 of 4

    • A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition 
      Silva Valenzuela, R.; Ortiz Bernardin, Alejandro; Sukumar, N.; Artioli, E.; Hitschfeld Kahler, Nancy (Wiley, 2020)
      In this article, we present a novel nodal integration scheme for meshfree Galerkin methods, which draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the ...
    • Consistent and stable meshfree Galerkin methods using the virtual element decomposition 
      Ortiz Bernardin, Alejandro; Russo, A.; Sukumar, N. (Wiley, 2017)
      Over the past two decades, meshfree methods have undergone significant development as a numerical tool to solve partial differential equations (PDEs). In contrast to finite elements, the basis functions in meshfree methods ...
    • POLYLLA: polygonal meshing algorithm based on terminal-edge regions 
      Salinas Fernández, Sergio; Hitschfeld Kahler, Nancy Viola; Ortiz Bernardin, Alejandro Andrés; Si, Hang (Springer, 2022)
      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 ...
    • Veamy: an extensible object-oriented C++ library for the virtual element method 
      Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E. (Springer New York LLC, 2019)
      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 ...