Reduced Basis Multiscale Finite Element Methods for Elliptic Problems

DOI10.1137/140955070zbMath1317.65238OpenAlexW2735270253MaRDI QIDQ5266223

Xueyu Zhu, Shun Zhang, Jan S. Hesthaven

Publication date: 30 July 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/196369

zbMATH Keywords

reduced basis methodsmultiscale finite element methods

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (9)

Randomized Local Model Order Reduction ⋮ ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications ⋮ An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition ⋮ A relaxed localized trust-region reduced basis approach for optimization of multiscale problems ⋮ A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems ⋮ A Reduced Basis Method for the Homogenized Reynolds Equation Applied to Textured Surfaces ⋮ Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling ⋮ A residual-driven local iterative corrector scheme for the multiscale finite element method ⋮ A Bayesian multiscale CNN framework to predict local stress fields in structures with microscale features

Uses Software

• rbMIT

Cites Work

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