A finite element heterogeneous multiscale method with improved control over the modeling error

DOI10.4310/CMS.2016.v14.n2.a7zbMath1332.65145MaRDI QIDQ259365

Doghonay Arjmand, Christian Stohrer

Publication date: 11 March 2016

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

zbMATH Keywords

homogenizationmultiscale methodpartial differential equationsmodeling error

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (5)

Numerical homogenization beyond scale separation ⋮ An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization ⋮ Finite element modeling of a multi-physics poro-elastic problem in multiscale media ⋮ Heterogeneous Multiscale Method for Maxwell's Equations ⋮ A parabolic local problem with exponential decay of the resonance error for numerical homogenization

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