A fast iterative solver for scattering by elastic objects in layered media
Applied Numerical Mathematics
Controllability method for acoustic scattering with spectral elements
Journal of Computational and Applied Mathematics
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation
Journal of Computational Physics
Controllability method for the Helmholtz equation with higher-order discretizations
Journal of Computational Physics
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation
Computers & Mathematics with Applications
Journal of Computational Physics
International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
International Journal of Computer Mathematics - Fast Iterative and Preconditioning Methods for Linear and Non-Linear Systems
A domain decomposition solver for acoustic scattering by elastic objects in layered media
Journal of Computational Physics
A damping preconditioner for time-harmonic wave equations in fluid and elastic material
Journal of Computational Physics
Preconditioning Helmholtz linear systems
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Acoustic inverse scattering via Helmholtz operator factorization and optimization
Journal of Computational Physics
Equation-based interpolation and incremental unknowns for solving the Helmholtz equation
Applied Numerical Mathematics
An Analysis of Equivalent Operator Preconditioning for Equation-Free Newton-Krylov Methods
SIAM Journal on Numerical Analysis
A fast method for the solution of the Helmholtz equation
Journal of Computational Physics
Journal of Computational Physics
A composite preconditioner for the electromagnetic scattering from a large cavity
Journal of Computational Physics
GPU implementation of a Helmholtz Krylov solver preconditioned by a shifted Laplace multigrid method
Journal of Computational and Applied Mathematics
An optimal 25-point finite difference scheme for the Helmholtz equation with PML
Journal of Computational and Applied Mathematics
Modification and Compensation Strategies for Threshold-based Incomplete Factorizations
SIAM Journal on Scientific Computing
Robust and highly scalable parallel solution of the Helmholtz equation with large wave numbers
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Three-dimensional visco-acoustic modeling using a renormalized integral equation iterative solver
Journal of Computational Physics
Preconditioning of complex symmetric linear systems with applications in optical tomography
Applied Numerical Mathematics
A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation
Journal of Computational Physics
Hi-index | 0.07 |
An iterative solution method, in the form of a preconditioner for a Krylov subspace method, is presented for the Helmholtz equation. The preconditioner is based on a Helmholtz-type differential operator with a complex term. A multigrid iteration is used for approximately inverting the preconditioner. The choice of multigrid components for the corresponding preconditioning matrix with a complex diagonal is validated with Fourier analysis. Multigrid analysis results are verified by numerical experiments. High wavenumber Helmholtz problems in heterogeneous media are solved indicating the performance of the preconditioner.