Multiscale model reduction. Multiscale finite element methods and their generalizations

DOI10.1007/978-3-031-20409-8OpenAlexW4379646220MaRDI QIDQ6102920

Eric T. Chung, Y. Efendiev, Thomas Y. Hou

Publication date: 25 June 2023

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

Full work available at URL: https://doi.org/10.1007/978-3-031-20409-8

zbMATH Keywords

model reductionimplicit-explicit methodsanalytical and numerical methodsmultiscale finite element methodsGalerkin formulationeigenvalue decaylocal offline computations

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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) PDE constrained optimization (numerical aspects) (49M41)

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