Efficient implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies
type: Item
instance of: scholarly article
title: Efficient implementation of 3D FEM for nonlocal Poisson problem with different ball approximation strategies
author: Gengjian Chen
author: Yuheng Ma
author: Jiwei Zhang
published in: Communications in Computational Physics
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 65Y10
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65R99
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 45A99
zbMATH DE Number: 7973777
zbMATH Keywords: nonlocal problem
zbMATH Keywords: finite element method
zbMATH Keywords: combinatorial map
zbMATH Keywords: approximate ball
zbMATH Keywords: Monte Carlo integration
zbMATH Keywords: parallel computing
MaRDI profile type: Publication
cites work: Mathematical analysis for the peridynamic nonlocal continuum theory
cites work: An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
cites work: Nonlocal Operators with Applications to Image Processing
cites work: Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions
cites work: Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
cites work: A conforming DG method for linear nonlocal models with integrable kernels
cites work: A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems
cites work: An efficient collocation method for a non-local diffusion model
cites work: An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems
cites work: A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
cites work: A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
cites work: Efficient optimization-based quadrature for variational discretization of nonlocal problems
cites work: Efficient quadrature rules for finite element discretizations of nonlocal equations
cites work: Numerical methods for nonlocal and fractional models
cites work: A fast method for a generalized nonlocal elastic model
cites work: A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model
cites work: A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model
cites work: Exploiting multilevel Toeplitz structures in high dimensional nonlocal diffusion
cites work: A fast discontinuous Galerkin method for a bond-based linear peridynamic model discretized on a locally refined composite mesh
cites work: Fast algorithm for computing nonlocal operators with finite interaction distance
cites work: A fast collocation method for a variable-coefficient nonlocal diffusion model
cites work: On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods
cites work: Combinatorial Maps
cites work: An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems
cites work: Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations
cites work: Nonlocal Modeling, Analysis, and Computation
cites work: Q4300595
cites work: Asymptotically compatible schemes and applications to robust discretization of nonlocal models
cites work: Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models
cites work: Implementing peridynamics within a molecular dynamics code
cites work: Topological models for boundary representation: A comparison with \(n\)- dimensional generalized maps
cites work: N-DIMENSIONAL GENERALIZED COMBINATORIAL MAPS AND CELLULAR QUASI-MANIFOLDS
cites work: Q3331506
cites work: TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
DOI: 10.4208/CICP.OA-2023-0210
description: scientific article; zbMATH DE number 7973777