Sparse two-scale FEM for homogenization problems

DOI10.1023/A:1015187000835zbMath0999.65125OpenAlexW1581308803MaRDI QIDQ1610579

Ana-Maria Matache

Publication date: 20 August 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015187000835

zbMATH Keywords

error estimateshomogenizationsparse two-scale finite element methodstwo-scale finite element methodstwo-scale regularity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

On a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher Dimensions ⋮ A multiscale \(hp\)-FEM for 2D photonic crystal bands ⋮ Two-Scale Regularity for Homogenization Problems with Nonsmooth Fine Scale Geometry ⋮ A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift ⋮ A new estimate for the homogenization method for second-order elliptic problem with rapidly oscillating periodic coefficients ⋮ The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains

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