Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model

DOI10.1051/m2an/2015030zbMath1339.35312OpenAlexW2148940423MaRDI QIDQ2798132

Marc Duruflé, Patrick Joly, Marc Bonnet, Alienor Burel

Publication date: 1 April 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015030

zbMATH Keywords

transmissionasymptotic expansionelastodynamicsthin layer approximations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

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• Approximate models for wave propagation across thin periodic interfaces
• High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers
• Elliptic partial differential equations of second order
• Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings
• Equivalent Boundary Conditions for an Elasto-Acoustic Problem set in a Domain with a Thin Layer
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• GENERALIZED IMPEDANCE BOUNDARY CONDITIONS FOR SCATTERING PROBLEMS FROM STRONGLY ABSORBING OBSTACLES: THE CASE OF MAXWELL'S EQUATIONS
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• Conditions aux limites approchées pour les couches minces périodiques
• Well-Posedness of One-Way Wave Equations and Absorbing Boundary Conditions
• Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem
• A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model
• MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL
• The Effect of a Thin Coating on the Scattering of a Time-Harmonic Wave for the Helmholtz Equation
• Approximation by generalized impedance boundary conditions of a transmission problem in acoustic scattering

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