Sparsifying Preconditioner for the Lippmann--Schwinger Equation
From MaRDI portal
Publication:5266238
DOI10.1137/140985147zbMath1317.65087arXiv1408.4495OpenAlexW755057656MaRDI QIDQ5266238
Publication date: 30 July 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.4495
preconditionerquantum scatteringLippmann-Schwinger equationsparse linear algebraacoustic and electromagnetic scattering
Computational methods for sparse matrices (65F50) Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
Related Items
A fast rapidly convergent method for approximation of convolutions with applications to wave scattering and some other problems, Sparsifying preconditioner for soliton calculations, Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media, Sparsify and Sweep: An Efficient Preconditioner for the Lippmann--Schwinger Equation, A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods, Preconditioning Orbital Minimization Method for Planewave Discretization, Efficient and accurate computation of electric field dyadic Green's function in layered media, A domain decomposition preconditioning for an inverse volume scattering problem, Sparsifying preconditioner for the time-harmonic Maxwell's equations, Fast Alternating BiDirectional Preconditioner for the 2D High-Frequency Lippmann--Schwinger Equation, Sparsifying Preconditioner for Pseudospectral Approximations of Indefinite Systems on Periodic Structures
Cites Work
- Unnamed Item
- A fast, bandlimited solver for scattering problems in inhomogeneous media
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- High-order quadratures for the solution of scattering problems in two dimensions
- Fast convolution with the free space Helmholtz Green's function
- A perfectly matched layer for the absorption of electromagnetic waves
- Numerical solution of the Lippmann-Schwinger equation by approximate approximations
- An efficient, preconditioned, high-order solver for scattering by two-dimensional inhomogeneous media
- A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
- An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation
- 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
- Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
- Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
- Fast algorithms for Helmholtz Green's functions
- The Multifrontal Solution of Indefinite Sparse Symmetric Linear
- Absorbing Boundary Conditions for the Numerical Simulation of Waves
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Nested Dissection of a Regular Finite Element Mesh
- A fast, direct algorithm for the Lippmann-Schwinger integral equation in two dimensions
