Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers
DOI10.1016/j.jcp.2023.112573arXiv2211.14656OpenAlexW4387747119MaRDI QIDQ6066520
Publication date: 16 November 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.14656
numerical integrationGreen's functionsperiodic boundary conditionboundary integral equationsHelmholtz equationsmultilayered media
Numerical methods for partial differential equations, boundary value problems (65Nxx) General topics in optics and electromagnetic theory (78Axx) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media
- A Nyström method for weakly singular integral operators on surfaces
- 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
- A wideband fast multipole method for the two-dimensional complex Helmholtz equation
- Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.
- Resonant effects in scattering by periodic arrays
- Rapid solution of integral equations of scattering theory in two dimensions
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Inverse acoustic and electromagnetic scattering theory.
- A fast direct solver for boundary integral equations in two dimensions
- A high-order perturbation of surfaces method for vector electromagnetic scattering by doubly layered periodic crossed gratings
- Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators
- Corrected trapezoidal rules for boundary integral equations in three dimensions
- Spectrally-accurate numerical method for acoustic scattering from doubly-periodic 3D multilayered media
- Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media
- A spectral element method with transparent boundary condition for periodic layered media scattering
- A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations
- A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems
- Windowed Green Function Method for Layered-Media Scattering
- Fast algorithms for hierarchically semiseparable matrices
- Fast direct solvers for integral equations in complex three-dimensional domains
- An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
- Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
- Windowed Green function method for the Helmholtz equation in the presence of multiply layered media
- Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media
- A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints
- Finite Element Methods for Maxwell's Equations
- Finite Element Approximation of Time Harmonic Waves in Periodic Structures
- Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies
- A fast algorithm for particle simulations
This page was built for publication: Robust fast direct integral equation solver for three-dimensional doubly periodic scattering problems with a large number of layers