Analysis of a scalar nonlocal peridynamic model with a sign changing kernel

From MaRDI portal
Publication:378989

DOI10.3934/dcdsb.2013.18.1415zbMath1278.45014OpenAlexW2313618896MaRDI QIDQ378989

Qiang Du, Tadele Mengesha

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.1415



Related Items

Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport, Numerical methods for nonlocal and fractional models, A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems, Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains, An optimization-based approach to parameter learning for fractional type nonlocal models, A class of high order nonlocal operators, Efficient optimization-based quadrature for variational discretization of nonlocal problems, Analysis and approximation of a nonlocal obstacle problem, Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling, Numerical convergence of finite difference approximations for state based peridynamic fracture models, Analysis of the volume-constrained peridynamic Navier equation of linear elasticity, Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems, An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions, Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models, Nonlocal kernel network (NKN): a stable and resolution-independent deep neural network, On weak solutions for a nonlocal model with nonlocal damping term, A general framework for substructuring‐based domain decomposition methods for models having nonlocal interactions, Efficient quadrature rules for finite element discretizations of nonlocal equations, Dirichlet‐type absorbing boundary conditions for peridynamic scalar waves in two‐dimensional viscous media, A well‐posed parameter identification for nonlocal diffusion problems, Quasistatic Evolution with Unstable Forces, Doubly nonlocal Cahn-Hilliard equations, A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type, An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems, Nonlocal diffusion models with consistent local and fractional limits, Lower Semicontinuity and Relaxation Via Young Measures for Nonlocal Variational Problems and Applications to Peridynamics, Nonlocal convection-diffusion volume-constrained problems and jump processes, Nonlocal constrained value problems for a linear peridynamic Navier equation, Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations, A Multigrid Method for Nonlocal Problems: Non--Diagonally Dominant or Toeplitz-Plus-Tridiagonal Systems, Nonlocal convection-diffusion problems and finite element approximations, Numerical Analysis of Nonlocal Fracture Models in Hölder Space, Conditioning and error analysis of nonlocal operators with local boundary conditions, A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems, A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems, Dynamic brittle fracture as a small horizon limit of peridynamics, Robust Discretization of Nonlocal Models Related to Peridynamics, Fractional diffusion on bounded domains, Data-driven learning of nonlocal physics from high-fidelity synthetic data, A peridynamic model of fracture mechanics with bond-breaking, Finite element approximation of nonlocal dynamic fracture models, An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems, Integral approximations to classical diffusion and smoothed particle hydrodynamics, Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models, Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes, Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling, A data-driven peridynamic continuum model for upscaling molecular dynamics, On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models, The Dirichlet problem for nonlocal operators, On a nonlocal Cahn–Hilliard model permitting sharp interfaces