Time-domain analysis of an acoustic-elastic interaction problem

DOI10.1007/s00205-018-1228-2zbMath1394.35344OpenAlexW2788521587MaRDI QIDQ724358

Peijun Li, Yixian Gao, Gang Bao

Publication date: 25 July 2018

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-018-1228-2

zbMATH Keywords

scatteringacoustic plane waveacoustic-elastic interaction problemLax-Milgram lemmatime-domain absorbing perfectly matched layer (PML) method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Wave scattering in solid mechanics (74J20) A priori estimates in context of PDEs (35B45) Hydro- and aero-acoustics (76Q05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) PDEs in connection with mechanics of deformable solids (35Q74) First-order hyperbolic equations (35L02)

Related Items

Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems ⋮ Unique identification of a multi-layered fluid-solid medium ⋮ Solvability results for the transient acoustic scattering by an elastic obstacle ⋮ Stability for Time-Domain Elastic Wave Equations ⋮ Well-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surface ⋮ Analysis of a time-dependent fluid-solid interaction problem above a local rough surface ⋮ The time‐domain scattering by the elastic shell in a two‐layered unbounded structure ⋮ Convergence Analysis of the PML Method for Time-Domain Electromagnetic Scattering Problems ⋮ Inverse obstacle scattering for acoustic waves in the time domain ⋮ An Adaptive Finite Element PML Method for the Acoustic-Elastic Interaction in Three Dimensions ⋮ An adaptive finite element DtN method for the three-dimensional acoustic scattering problem ⋮ Analysis of time-domain Maxwell's equations in biperiodic structures ⋮ Time-domain analysis of forward obstacle scattering for elastic wave ⋮ Analysis of time-domain electromagnetic scattering problem by multiple cavities ⋮ Determining a multi-layered fluid-solid medium from the acoustic measurements ⋮ A time-dependent interaction problem between an electromagnetic field and an elastic body ⋮ An inverse acoustic-elastic interaction problem with phased or phaseless far-field data ⋮ Multiscale Approach and Analysis for Transient Simulation of Light Interaction With Nonlocal Metallic Nanostructure Arrays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves
• Mixed perfectly-matched-layers for direct transient analysis in 2D elastic heterogeneous media
• Analysis of time-domain scattering by periodic structures
• Dynamic analysis of fluid-soil-structure interaction problems by the boundary element method
• Absorbing PML boundary layers for wave-like equations
• A perfectly matched layer for the absorption of electromagnetic waves
• Evaluation of the perfectly matched layer for computational acoustics
• An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
• A time domain analysis of PML models in acoustics
• A finite element model for acoustic scattering from objects near a fluid-fluid interface
• A new absorbing layer for elastic waves
• Numerical methods for Laplace transform inversion
• Near-field imaging of obstacles with the factorization method: fluid–solid interaction
• On L²-Stability Analysis of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
• Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
• Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems
• On FEM‐BEM coupling for fluid‐structure interaction analyses in the time domain
• The Perfectly Matched Layer in Curvilinear Coordinates
• Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials
• Fluid–Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle
• Long-Time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Domain Acoustic Scattering Problems
• Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary Conditions
• Discretization of the Time Domain CFIE for Acoustic Scattering Problems Using Convolution Quadrature
• Finite-Element Time-Domain Analysis of Electrically and Magnetically Dispersive Periodic Structures
• Elasto–acoustic and acoustic–acoustic coupling on non‐matching grids
• Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity
• Inverse acoustic and electromagnetic scattering theory
• Acoustic and electromagnetic equations. Integral representations for harmonic problems