Time history kernel functions for square lattice

DOI10.1007/s00466-011-0615-4zbMath1334.70002OpenAlexW1984188478MaRDI QIDQ411293

Gang Pang, Shao-Qiang Tang

Publication date: 4 April 2012

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-011-0615-4

zbMATH Keywords

Laplace transformfinite boundarycorner effectnon-reflecting boundary conditiontime history kernel function

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Ordinary differential equations of infinite order (34A35) The dynamics of infinite particle systems (70F45) Ordinary lattice differential equations (34A33) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (9)

Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain ⋮ Matching boundary conditions for lattice dynamics ⋮ Coarse-graining molecular dynamics models using an extended Galerkin projection method ⋮ Artificial boundary conditions for atomic simulations of face-centered-cubic lattice ⋮ Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains ⋮ Semi-analytical solution for the generalized absorbing boundary condition in molecular dynamics simulations ⋮ Accurate boundary treatment for Riesz space fractional diffusion equations ⋮ Eliminating corner effects in square lattice simulation ⋮ Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

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• A Green's function approach to deriving non‐reflecting boundary conditions in molecular dynamics simulations

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