The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

DOI10.4208/aamm.OA-2017-0272zbMath1488.65694OpenAlexW2917396047WikidataQ128362203 ScholiaQ128362203MaRDI QIDQ5156610

Qiya Hu, Long Yuan

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2017-0272

zbMATH Keywords

error estimatesanisotropic mediaelectromagnetic waveultra weak variational formulationplane-wave basisplane wave least-squares

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Waves and radiation in optics and electromagnetic theory (78A40) Forced convection (76R05)

Related Items (4)

Non-Convex and Convex Coupling Image Segmentation via TGpV Regularization and Thresholding ⋮ Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers ⋮ Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity ⋮ Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers

Cites Work

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• Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers
• Solving Maxwell's equations using the ultra weak variational formulation
• A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
• Plane wave approximation of homogeneous Helmholtz solutions
• A least-squares method for the Helmholtz equation
• Discontinuous Galerkin methods with plane waves for time-harmonic problems
• Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
• Use of Wave Boundary Elements for Acoustic Computations
• Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
• Plane wave discontinuous Galerkin methods: Analysis of theh-version
• Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
• P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems
• The Ultra-Weak Variational Formulation for Elastic Wave Problems
• Finite Element Methods for Maxwell's Equations
• THE MULTISCALE VTCR APPROACH APPLIED TO ACOUSTICS PROBLEMS
• Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
• AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM

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