On approximation theory of nonlocal differential operators
From MaRDI portal
Publication:6554047
DOI10.1002/NME.6819zbMATH Open1548.74994MaRDI QIDQ6554047
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Could not fetch data.
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical and other methods in solid mechanics (74S99) Peridynamics (74A70)
Cites Work
- The total and updated Lagrangian formulations of state-based peridynamics
- An implicit gradient model by a reproducing kernel strain regularization in strain localization problems
- Synchronized reproducing kernel interpolant via multiple wavelet expansion
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- An updated Lagrangian particle hydrodynamics (ULPH) for Newtonian fluids
- Reformulation of elasticity theory for discontinuities and long-range forces
- A reproducing kernel enhanced approach for peridynamic solutions
- A nonlocal operator method for solving partial differential equations
- Higher-order nonlocal theory of updated Lagrangian particle hydrodynamics (ULPH) and simulations of multiphase flows
- A higher order nonlocal operator method for solving partial differential equations
- Fluid-elastic structure interaction simulation by using ordinary state-based peridynamics and peridynamic differential operator
- Updated Lagrangian particle hydrodynamics (ULPH) modeling and simulation of multiphase flows
- Peridynamic states and constitutive modeling
- Peridynamic differential operator and its applications
- A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
- Meshfree Particle Methods
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Smoothed Particle Hydrodynamics
- Reproducing kernel particle methods
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Numerical solution of linear and nonlinear partial differential equations using the peridynamic differential operator
- Peridynamic Differential Operator for Numerical Analysis
Related Items (2)
Dual-horizon peridynamics modeling of coupled chemo-mechanical-damage for interface oxidation-induced cracking in thermal barrier coatings ⋮ Modelling finite deformation and progressive failure of hyperelastic solid with implicit BA-NOSB-PD
This page was built for publication: On approximation theory of nonlocal differential operators
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6554047)