Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues
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Publication:4998634
DOI10.1090/conm/754/15175zbMath1481.65263arXiv1909.00708OpenAlexW3046780610MaRDI QIDQ4998634
Qiang Du, Xiaochuan Tian, Björn Engquist
Publication date: 9 July 2021
Published in: 75 Years of Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.00708
Numerical methods for integral equations (65R20) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization, determination of effective properties in solid mechanics (74Q99) Numerical methods for partial differential equations, boundary value problems (65N99)
Related Items (5)
Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics ⋮ Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients ⋮ Nonlocal diffusion models with consistent local and fractional limits ⋮ Towards a unified theory of fractional and nonlocal vector calculus ⋮ A data-driven peridynamic continuum model for upscaling molecular dynamics
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