A Dual-Horizon Nonlocal Diffusion Model and Its Finite Element Discretization
DOI10.4208/nmtma.OA-2022-0004sOpenAlexW4312856254MaRDI QIDQ5885659
Lili Ju, Hao Tian, Unnamed Author
Publication date: 4 April 2023
Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/nmtma.oa-2022-0004s
maximum principlefinite element discretizationnonlocal diffusionasymptotically compatibledual-horizon
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (1)
Cites Work
- Unnamed Item
- Cohesive dynamics and brittle fracture
- Peridynamic thermal diffusion
- A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
- A fast and faithful collocation method with efficient matrix assembly for a two-dimensional nonlocal diffusion model
- Continuous and discontinuous finite element methods for a peridynamics model of mechanics
- Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications
- Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
- Deformation of a peridynamic bar
- A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations
- Nonlocal convection-diffusion problems and finite element approximations
- Reformulation of elasticity theory for discontinuities and long-range forces
- A coupling strategy for nonlocal and local diffusion models with mixed volume constraints and boundary conditions
- A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization
- Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients
- Peridynamic states and constitutive modeling
- Nonlocal convection-diffusion volume-constrained problems and jump processes
- Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains
- A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models
- A New Approach for a Nonlocal, Nonlinear Conservation Law
- Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- Nonlocal Operators with Applications to Image Processing
- Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line
- Nonlocal Linear Image Regularization and Supervised Segmentation
- Convergence, adaptive refinement, and scaling in 1D peridynamics
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- A Physically Consistent, Flexible, and Efficient Strategy to Convert Local Boundary Conditions into Nonlocal Volume Constraints
- Image Denoising Methods. A New Nonlocal Principle
- Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling
- A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models
- Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations
- Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization
- Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions
This page was built for publication: A Dual-Horizon Nonlocal Diffusion Model and Its Finite Element Discretization