activity
20132025
most citedA nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition

13 citations · 25 across the 13 of their papers we have counts for

collaborators

16 papers

cs.GR2025

Mìmir: A real-time interactive visualization library for CUDA programs

Francisco Carter, Nancy Hitschfeld, Cristóbal A. Navarro

Real-time visualization of computational simulations running over graphics processing units (GPU) is a valuable feature in modern science and technological research, as it allows r…

cs.CG2024

A Class of Topological Pseudodistances for Fast Comparison of Persistence Diagrams

Rolando Kindelan Nuñez, Mircea Petrache, Mauricio Cerda +1

Persistence diagrams (PD)s play a central role in topological data analysis, and are used in an ever increasing variety of applications. The comparison of PD data requires computin…

cs.DC2023

An Evaluation of GPU Filters for Accelerating the 2D Convex Hull

Roberto Carrasco, Héctor Ferrada, Cristóbal A. Navarro +1

The Convex Hull algorithm is one of the most important algorithms in computational geometry, with many applications such as in computer graphics, robotics, and data mining. Despite…

cs.DC2022

A Scalable and Energy Efficient GPU Thread Map for m-Simplex Domains

Cristóbal A. Navarro, Felipe A. Quezada, Benjamin Bustos +2

This work proposes a new GPU thread map for -simplex domains, that scales its speedup with dimension and is energy efficient compared to other state of the art approaches. The m…

cs.DC2022

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…

math.NA2022

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…

cs.CG2022

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…

cs.DC2022

Squeeze: Efficient Compact Fractals for Tensor Core GPUs

Felipe A. Quezada, Cristóbal A. Navarro, Nancy Hitschfeld +1

This work presents Squeeze, an efficient compact fractal processing scheme for tensor core GPUs. By combining discrete-space transformations between compact and expanded forms, one…

cs.LG2021★ 2 cited

Classification based on Topological Data Analysis

Rolando Kindelan, José Frías, Mauricio Cerda +1

Topological Data Analysis (TDA) is an emergent field that aims to discover topological information hidden in a dataset. TDA tools have been commonly used to create filters and topo…

cs.DC2020

Efficient GPU Thread Mapping on Embedded 2D Fractals

Cristóbal A. Navarro, Felipe A. Quezada, Nancy Hitschfeld +2

This work proposes a new approach for mapping GPU threads onto a family of discrete embedded 2D fractals. A block-space map $λ: \mathbb{Z}_{\mathbb{E}}^{2} \mapsto \mathbb{Z}_{\mat…

math.NA2019★ 13 cited

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…

cs.MS2017

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…

cs.DC2017

Block-space GPU Mapping for Embedded Sierpiński Gasket Fractals

Cristóbal A. Navarro, Benjamín Bustos, Raimundo Vega +1

This work studies the problem of GPU thread mapping for a Sierpiński gasket fractal embedded in a discrete Euclidean space of . A block-space map $λ: \mathbb{Z}_{\mathb…

cs.DC2017★ 10 cited

GPU parallel simulation algorithm of Brownian particles with excluded volume using Delaunay triangulations

Francisco Carter, Nancy Hitschfeld, Cristóbal Navarro +1

A novel parallel simulation algorithm on the GPU, implemented in CUDA and C++, is presented for the simulation of Brownian particles that display excluded volume repulsion and inte…

cs.DC2016

Potential benefits of a block-space GPU approach for discrete tetrahedral domains

Cristóbal A. Navarro, Benjamín Bustos, Nancy Hitschfeld

The study of data-parallel domain re-organization and thread-mapping techniques are relevant topics as they can increase the efficiency of GPU computations when working on spatial…

cs.CG2013

Study on Delaunay tessellations of 1-irregular cuboids for 3D mixed element meshes

David Contreras, Nancy Hitschfeld-Kahler

Mixed elements meshes based on the modified octree approach contain several co-spherical point configurations. While generating Delaunay tessellations to be used together with the…