Fast multiscale Gaussian beam methods for wave equations in bounded convex domains
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Publication:348790
DOI10.1016/j.jcp.2013.12.034zbMath1349.65543OpenAlexW1978258427MaRDI QIDQ348790
Jianliang Qian, Jun Lai, Gang Bao
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.034
Initial-boundary value problems for second-order hyperbolic equations (35L20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (3)
Gabor frames of Gaussian beams for the Schrödinger equation ⋮ Fast Multiscale Gaussian Beam Method for Three-Dimensional Elastic Wave Equations in Bounded Domains ⋮ General superpositions of Gaussian beams and propagation errors
Cites Work
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- Eulerian Gaussian beam method for high frequency wave propagation in heterogeneous media with discontinuities in one direction
- A parametrix construction for the wave equation with low regularity coefficients using a frame of Gaussians
- The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
- Taylor expansion and discretization errors in Gaussian beam superposition
- Eulerian Gaussian beams for Schrödinger equations in the semi-classical regime
- Gaussian beam decomposition of high frequency wave fields
- A new method of computation of wave fields using Gaussian beams
- Gaussian beams summation for the wave equation in a convex domain
- Gaussian beam formulations and interface conditions for the one-dimensional linear Schrödinger equation
- The Gaussian wave packet transform: efficient computation of the semi-classical limit of the Schrödinger equation. I: Formulation and the one dimensional case
- Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
- Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation
- Mountain Waves and Gaussian Beams
- Gaussian wave packets in inhomogeneous media with curved interfaces
- Error estimates for Gaussian beam superpositions
- A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation
- A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data
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