Numerical Microlocal Analysis by Fast Gaussian Wave Packet Transforms and Application to High-Frequency Helmholtz Problems
From MaRDI portal
Publication:5194603
DOI10.1137/18M1218078zbMath1426.78004OpenAlexW2972996770WikidataQ127282871 ScholiaQ127282871MaRDI QIDQ5194603
Publication date: 16 September 2019
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1218078
Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Asymptotic analysis in optics and electromagnetic theory (78M35) Geometric optics (78A05)
Related Items
Learning rays via deep neural network in a ray-based IPDG method for high-frequency Helmholtz equations in inhomogeneous media, A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources
Cites Work
- Unnamed Item
- Unnamed Item
- Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version
- A phase-based hybridizable discontinuous Galerkin method for the numerical solution of the Helmholtz equation
- Discovery of point sources in the Helmholtz equation posed in unknown domains with obstacles
- The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
- A ray-based IPDG method for high-frequency time-domain acoustic wave propagation in inhomogeneous media
- Numerical microlocal analysis of harmonic wavefields
- A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wavenumber
- Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations
- A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media
- Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
- Numerical microlocal analysis of 2-D noisy harmonic plane and circular waves
- A Survey of Trefftz Methods for the Helmholtz Equation
- Fast Multiscale Gaussian Wavepacket Transforms and Multiscale Gaussian Beams for the Wave Equation
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- A generalized plane-wave numerical method for smooth nonconstant coefficients
- A hybrid numerical asymptotic method for scattering problems
- An introduction to semiclassical and microlocal analysis
