Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

DOI10.1016/j.crma.2019.05.011zbMath1422.65362arXiv1901.09758OpenAlexW2951618924WikidataQ115578010 ScholiaQ115578010MaRDI QIDQ2317493

Edoardo Paganoni, Assyr Abdulle, Doghonay Arjmand

Publication date: 12 August 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09758

zbMATH Keywords

numerical homogenizationresonance error

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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 (10)

Bloch wave approach to almost periodic homogenization and approximations of effective coefficients ⋮ Essentially optimal finite elements for multiscale elliptic eigenvalue problems ⋮ Numerical homogenization beyond scale separation ⋮ An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization ⋮ DeepBND: a machine learning approach to enhance multiscale solid mechanics ⋮ Numerical upscaling via the wave equation with perfectly matched layers ⋮ Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics ⋮ Computing homogenized coefficientsviamultiscale representation and hierarchical hybrid grids ⋮ Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling ⋮ A parabolic local problem with exponential decay of the resonance error for numerical homogenization

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