Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains

DOI10.1080/00036811.2016.1199799zbMath1372.65322arXiv1605.07645OpenAlexW2397681181WikidataQ58278122 ScholiaQ58278122MaRDI QIDQ5354361

Yating Wang, Wing Tat Leung, Eric T. Chung, Maria Vasilyeva, Yalchin R. Efendiev

Publication date: 1 September 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07645

zbMATH Keywords

algorithmconvergencehomogenizationfinite elementLaplace equationStokes systemmultiscalenumerical resultperforated domainsDarcy equationselasticity equationcoarse-grid problemfine-scale problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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