Finite element method to fluid-solid interaction problems with unbounded periodic interfaces

DOI10.1002/num.21980zbMath1381.74195OpenAlexW2139723858MaRDI QIDQ2804364

Tao Yin, Guanghui Hu, Andreas Rathsfeld

Publication date: 29 April 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21980

zbMATH Keywords

convergence analysisvariational approachfluid-solid interactionHelmholtz equationperiodic structureLamé systemRayleigh expansion

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

On recovery of an unbounded bi-periodic interface for the inverse fluid-solid interaction scattering problem ⋮ Analysis of a time-dependent fluid-solid interaction problem above a local rough surface ⋮ An Adaptive CIP-FEM for the Polygonal-Line Grating Problem ⋮ Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods ⋮ An Adaptive Finite Element DtN Method for the Elastic Wave Scattering Problem in Three Dimensions ⋮ Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves

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