A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions
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Publication:817464
DOI10.1016/j.cam.2005.03.047zbMath1130.78315OpenAlexW2136645993MaRDI QIDQ817464
Publication date: 16 March 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2005.03.047
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)
Related Items (11)
Mixed unsplit-field perfectly matched layers for transient simulations of scalar waves in heterogeneous domains ⋮ A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains ⋮ A Trefftz based method for solving Helmholtz problems in semi-infinite domains ⋮ Hardy space infinite elements for Helmholtz-type problems with unbounded inhomogeneities ⋮ Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain ⋮ Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering ⋮ Perfectly matched layers for time-harmonic second order elliptic problems ⋮ Convergence of infinite element methods for scalar waveguide problems ⋮ Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations ⋮ Optimization of electrical properties of parallel plate antenna for EMC testing ⋮ Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems
Cites Work
- Finite element analysis of acoustic scattering
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- Complex Riemannian metric and absorbing boundary conditions
- Ordinary differential equations: an introduction
- Analysis of the PML equations in general convex geometry
- The Perfectly Matched Layer in Curvilinear Coordinates
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory
- Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
- Perfectly Matched Layers for the Convected Helmholtz Equation
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