Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation
DOI10.1016/S0168-9274(00)00021-0zbMath0979.65107OpenAlexW2048038333WikidataQ126743743 ScholiaQ126743743MaRDI QIDQ5931566
Publication date: 12 February 2002
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00021-0
boundary element methodnumerical experimentsoperator splittingNeumann boundary condition3D Helmholtz equationpreconditionersSommerfeld radiation conditionsparse inverses
Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items
Cites Work
- Unnamed Item
- Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary
- A boundary element method for the Helmholtz equation using finite part integration
- Efficient iterative solution of linear systems from discretizing singular integral equations
- Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem
- How Fast are Nonsymmetric Matrix Iterations?
- Preconditioning for Boundary Integral Equations
- Boundary integral solutions of three dimensional acoustic radiation problems
- Adaptively Preconditioned GMRES Algorithms
- Parallel Hierarchical Solvers and Preconditioners for Boundary Element Methods
- On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
- ILUM: A Multi-Elimination ILU Preconditioner for General Sparse Matrices
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems