An optimization-based, heterogeneous to homogeneous coupling method

DOI10.4310/CMS.2015.V13.N6.A13zbMATH Open1326.65074OpenAlexW2166592580MaRDI QIDQ887368

Assyr Abdulle, Orane Jecker

Publication date: 23 October 2015

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2015.v13.n6.a13

zbMATH Keywords

algorithmdomain decompositionhomogenizationmultiscale analysiselliptic problemheterogeneous multiscale methodconstrained minimization problemglobal-local method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

An Optimization Based Coupling Method for Multiscale Problems ⋮ A Nitsche hybrid multiscale method with non-matching grids ⋮ Iterative strong coupling of dimensionally heterogeneous models ⋮ A concurrent global-local numerical method for multiscale PDEs ⋮ Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients ⋮ On heterogeneous coupling of multiscale methods for problems with and without scale separation ⋮ Heterogeneous Coupling for Implicitly Described Domains

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