Error analysis for the operator marching method applied to range dependent waveguides

DOI10.1515/jiip-2015-0069zbMath1457.65171OpenAlexW2526758333MaRDI QIDQ327791

Keying Liu, Weibing Zuo, Peng Li, Wei-zhou Zhong

Publication date: 19 October 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0069

zbMATH Keywords

error analysisHelmholtz equationDtN reformulationlocal orthogonal transformoperator marching method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Blow-up in context of PDEs (35B44) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (1)

Marching schemes for Cauchy wave propagation problems in laterally varying waveguides

Uses Software

• OASES

Cites Work

• Unnamed Item
• The inverse fundamental operator marching method for Cauchy problems in range-dependent stratified waveguides
• Wave propagation using bases for bandlimited functions
• One-way large range step methods for Helmholtz waveguides
• Large range step method for acoustic waveguide with two layer media
• Local orthogonal transformation and one-way methods for acoustic waveguides
• Marching schemes for inverse acoustic scattering problems
• Mathematical treatment of wave propagation in acoustic waveguides with \(n\) curved interfaces
• An operator marching method for inverse problems in range-dependent waveguides
• The Detection of the Source of Acoustical Noise in Two Dimensions
• Inverse problems in ocean acoustics
• The detection of surface vibrations from interior acoustical pressure
• A LOCAL ORTHOGONAL TRANSFORM FOR ACOUSTIC WAVEGUIDES WITH AN INTERNAL INTERFACE
• VALIDITY OF ONE-WAY MODELS IN THE WEAK RANGE DEPENDENCE LIMIT
• A propagation-backpropagation method for ultrasound tomography
• Parabolic Wave Equations with Applications

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