Directional Preconditioner for 2D High Frequency Obstacle Scattering
From MaRDI portal
Publication:5266246
DOI10.1137/140985135zbMath1317.65245arXiv1408.1578OpenAlexW2963862075MaRDI QIDQ5266246
Publication date: 30 July 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.1578
scatteringboundary integral methodpreconditionerlow-rank approximationhigh-frequency wavessparse linear algebra
Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (4)
Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition ⋮ A hierarchical butterfly LU preconditioner for two-dimensional electromagnetic scattering problems involving open surfaces ⋮ Sparse Approximate Multifrontal Factorization with Butterfly Compression for High-Frequency Wave Equations ⋮ Sparse Approximate Multifrontal Factorization with Butterfly Compression for High-Frequency Wave Equations
Cites Work
- Unnamed Item
- Scattering in flatland: Efficient representations via wave atoms
- A fast direct solver for scattering problems involving elongated structures
- A stable well-conditioned integral equation for electromagnetism scattering
- The construction of some efficient preconditioners in the boundary element method
- Fast numerical computations of oscillatory integrals related to acoustic scattering. I
- Efficient computation of oscillatory integrals via adaptive multiscale local Fourier bases
- A fast direct solver for boundary integral equations in two dimensions
- A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel
- Wave atoms and sparsity of oscillatory patterns
- An \(O(N)\) direct solver for integral equations on the plane
- Hierarchical Interpolative Factorization for Elliptic Operators: Integral Equations
- Fast algorithms for hierarchically semiseparable matrices
- An integral preconditioner for solving the two-dimensional scattering transmission problem using integral equations
- Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Sparse Approximation for Solving Integral Equations with Oscillatory Kernels
- Crout Versions of ILU for General Sparse Matrices
- Des préconditionneurs pour la résolution numérique des équations intégrales de frontière de l'acoustique
- On a class of predefined wavelet packet bases for efficient representation of electromagnetic integral equations
- Fast solution of electromagnetic integral equations using adaptive wavelet packet transform
- Alternative integral equations for the iterative solution of acoustic scattering problems
- An introduction to hierarchical matrices
- A Preconditioner for the Electric Field Integral Equation Based on Calderon Formulas
- MINIMIZING THE CONDITION NUMBER OF BOUNDARY INTEGRAL OPERATORS IN ACOUSTIC AND ELECTROMAGNETIC SCATTERING
- Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs
- A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
- Analytic preconditioners for the electric field integral equation
- Linear integral equations
- Inverse acoustic and electromagnetic scattering theory
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: Directional Preconditioner for 2D High Frequency Obstacle Scattering