Complex Riemannian metric and absorbing boundary conditions
From MaRDI portal
Publication:1606250
DOI10.1016/S0021-7824(01)01214-4zbMath1031.35141WikidataQ115340566 ScholiaQ115340566MaRDI QIDQ1606250
Erkki Somersalo, Matti Lassas, Jukka Liukkonen
Publication date: 24 July 2002
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05)
Related Items (11)
The 3D wave equation and its Cartesian coordinate stretched perfectly matched embedding -- a time-domain Green's function performance analysis ⋮ Analysis of perfectly matched layer operators for acoustic scattering on manifolds with quasicylindrical ends ⋮ On well-posedness of some homogenized Drude-Born-Fedorov systems on a bounded domain and applications to metamaterials ⋮ Numerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional case ⋮ On the use of PML for the computation of leaky modes ⋮ Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering ⋮ Leaky modes in twisted microstructured optical fibers ⋮ Generalized electromagnetic scattering in a complex geometry ⋮ Perfectly matched layers for time-harmonic second order elliptic problems ⋮ Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations ⋮ A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- On the existence and convergence of the solution of PML equations
- Asymptotic distribution of resonances for convex obstacles
- The complex scaling method for scattering by strictly convex obstacles
- Optimizing the perfectly matched layer
- Problèmes mixtes pour le système de Maxwell
- Complex Scaling and the Distribution of Scattering Poles
- The Perfectly Matched Layer in Curvilinear Coordinates
- Differential Forms, Metrics, and the Reflectionless Absorption of Electromagnetic Waves
- An analysis of the coupling of finite-element and Nyström methods in acoustic scattering
- Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
- Corrigenda to: Introduction to Symplectic Topology
- Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Inverse acoustic and electromagnetic scattering theory
This page was built for publication: Complex Riemannian metric and absorbing boundary conditions
