Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. Connecting atomistic-to-continuum coupling and domain decomposition. (English) Zbl 1160.65343 Multiscale Model. Simul. 7, No. 1, 362-380 (2008). Cited in 18 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 65F10 Iterative numerical methods for linear systems 35J25 Boundary value problems for second-order elliptic equations 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs Keywords:atomistic-to-continuum; lattice statics; alternating Schwarz domain decomposition method; algorithm; finite element; convergence; error analysis; numerical experiments PDF BibTeX XML Cite \textit{M. L. Parks} et al., Multiscale Model. Simul. 7, No. 1, 362--380 (2008; Zbl 1160.65343) Full Text: DOI