Computing Green's function of the initial-boundary value problem for the wave equation in a layered cylinder
DOI10.1080/00207160.2013.873124zbMath1343.35147OpenAlexW2067761173MaRDI QIDQ5175475
Publication date: 23 February 2015
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2013.873124
simulationwave propagationanalytical methodthree-dimensional wave equationmulti-layered cylinderFourier series with a finite number of terms
Initial-boundary value problems for second-order hyperbolic equations (35L20) Fundamental solutions to PDEs (35A08) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Wave equation (35L05) Theoretical approximation in context of PDEs (35A35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Green's functions for elliptic equations (35J08)
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Cites Work
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- Detection of a single elliptic-shape buried object in stratified elastic media: anti-plane problem
- Green's function for torsional waves in a cylindrically monoclinic material
- Computing and simulation of time-dependent electromagnetic fields in homogeneous anisotropic materials
- On the Green's function for the Helmholtz operator in an impedance circular cylindrical waveguide
- Formulation of the boundary element method for transient problems governed by the scalar wave equation
- Two-dimensional time domain BEM for scattering for elastic waves in solids of general anisotropy
- Scalar wave propagation in 2D: A BEM formulation based on the operational quadrature method
- The BEM for plates of variable thickness on nonlinear biparametric elastic foundation. An analog equation solution
- The boundary element method applied to time-dependent problems in anisotropic materials.
- Green's function for SH-waves in a cylindrically monoclinic material
- A 2D time-domain BEM for transient wave scattering analysis by a crack in anisotropic solids
- Transient response of SH waves in a layered half-space with sub-surface and interface cracks
- Perfectly matched layers for Maxwell's equations in second order formulation
- Reconstruction of pressure velocities and boundaries of thin layers in thinly-stratified layers
- A FINITE ELEMENT CODE FOR THE NUMERICAL SOLUTION OF THE HELMHOLTZ EQUATION IN AXIALLY SYMMETRIC WAVEGUIDES WITH INTERFACES
- Evaluation of the anisotropic Green's function and its derivatives
- Solution of Dirichlet problem for a rectangular region in terms of elliptic functions
- COUPLED MODE AND FINITE ELEMENT APPROXIMATIONS OF UNDERWATER SOUND PROPAGATION PROBLEMS IN GENERAL STRATIFIED ENVIRONMENTS
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