Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media
DOI10.1051/m2an/2021053zbMath1486.65274arXiv2011.02905OpenAlexW3197036171MaRDI QIDQ5034818
Rubén Aylwin, Carlos Jerez-Hanckes, José Pinto
Publication date: 21 February 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.02905
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Periodic solutions of integral equations (45M15) Error bounds for boundary value problems involving PDEs (65N15) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Composite media; random media in optics and electromagnetic theory (78A48) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary element methods for boundary value problems involving PDEs (65N38) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Uses Software
Cites Work
- A fast direct solver for scattering from periodic structures with multiple material interfaces in two dimensions
- Rapidly convergent two-dimensional quasi-periodic Green function throughout the spectrum-including wood anomalies
- Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects
- A new integral representation for quasi-periodic scattering problems in two dimensions
- The time-harmonic Maxwell equations in a doubly periodic structure
- The Green's function for the two-dimensional Helmholtz equation in periodic domains
- Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
- A spectral boundary integral equation method for the 2D Helmholtz equation
- On the properties of quasi-periodic boundary integral operators for the Helmholtz equation
- A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems
- High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems
- Integral Equation Methods in a Quasi-Periodic Diffraction Problem for the Time-Harmonic Maxwell’s Equations
- A Uniqueness Result for Scattering by Infinite Rough Surfaces
- Scattering of waves by thin periodic layers at high frequencies using the on-surface radiation condition method
- Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
- Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
- Variational Approximation of Maxwell's Equations in Biperiodic Structures
- Spectral Methods in MATLAB
- On the scattering by a biperiodic structure
- Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies
- Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders—including Wood anomalies
- High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs
- Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
- Integral Equation Methods in Scattering Theory
- Shorter Notes: Fourier Coefficients of Functions of Bounded Variation
- Linear integral equations
- Boundary Element Methods
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media
