Discrete-to-continuum bridging based on multigrid principles

From MaRDI portal
Publication:704531

DOI10.1016/j.cma.2003.12.022zbMath1079.74503OpenAlexW1969368272MaRDI QIDQ704531

Wen Chen, Jacob Fish

Publication date: 13 January 2005

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2003.12.022



Related Items

Multiscale methods for mechanical science of complex materials: Bridging from quantum to stochastic multiresolution continuum, A multiscale finite element method for the dynamic analysis of surface‐dominated nanomaterials, A finite temperature continuum theory based on interatomic potential in crystalline solids, A scalable multiscale LATIN method adapted to nonsmooth discrete media, A space-time multilevel method for molecular dynamics simulations, Implementation of the Multiscale Stochastic Finite Element Method on Elliptic PDE Problems, Voigt and Poincaré's mechanistic-energetic approaches to linear elasticity and suggestions for multiscale modelling, Adaptive concurrent multiscale model for fracture and crack propagation in heterogeneous media, A multiscale component mode synthesis approach for dynamic analysis of nanostructures, Adaptive atomistic-to-continuum modeling of propagating defects, Computational continua revisited, Adaptive delamination analysis, Multiscale simulations of primary atomization, Finite element model of ionic nanowires with size-dependent mechanical properties determined by ab initio calculations, An atomistic-to-continuum framework for nonlinear crystal mechanics based on asymptotic homogenization, Energy conservation of atomistic/continuum coupling, A coupled molecular dynamics and extended finite element method for dynamic crack propagation, Predictive multiscale theory for design of heterogeneous materials, Homogenization of vibrating periodic lattice structures, Static and dynamic studies for coupling discrete and continuum media; application to a simple railway track model, Multiscale stochastic finite element modeling of random elastic heterogeneous materials, Genesis of the multiscale approach for materials with microstructure, Computational continua, A surface Cauchy-Born model for silicon nanostructures, A finite element formulation for nanoscale resonant mass sensing using the surface Cauchy-Born model, Multiscale enrichment based on partition of unity for nonperiodic fields and nonlinear problems, Algorithms for bridging scale method parameters, Towards a taxonomy for multiscale methods in computational mechanics: Building blocks of existing methods, A multiscale stochastic finite element method on elliptic problems involving uncertainties, Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force



Cites Work