Add to ORKGThis thesis attempts to explain the convergence behaviour of solving Helmholtz problem by investigating its spectral properties. Fourier analysis is employ to solve the eigenvalues of the matrices that are involved in the iterative methods. The numerical experiment is conducted to verify the conclusions by Fourier analysis and also to reveal some other convergence behaviour.Computer Simulation for Science and EngineeringApplied mathematicsElectrical Engineering, Mathematics and Computer Scienc
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
In this paper, we analyze the convergence of a finite element method for the computation of transmis...
Numerical methods which are based on boundary integral formulations require the numerical evaluation...
Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up con...
In this paper we extend analysis of the WaveHoltz iteration -- a time-domain iterative method for th...
Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up con...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
A Helmholtz solver whose convergence is parameter independent can be obtained by combining the shift...
A Helmholtz solver whose convergence is parameter independent can be obtained by combining the shift...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods....
We consider the use of controllability techniques to solve the Helmholtz equation. Instead of solvin...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
In this paper, we analyze the convergence of a finite element method for the computation of transmis...
Numerical methods which are based on boundary integral formulations require the numerical evaluation...
Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up con...
In this paper we extend analysis of the WaveHoltz iteration -- a time-domain iterative method for th...
Shifted Laplace preconditioners have attracted considerable attention as a technique to speed up con...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
A Helmholtz solver whose convergence is parameter independent can be obtained by combining the shift...
A Helmholtz solver whose convergence is parameter independent can be obtained by combining the shift...
summary:An alternating-direction iterative procedure is described for a class of Helmholz-like probl...
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods....
We consider the use of controllability techniques to solve the Helmholtz equation. Instead of solvin...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
We study some convergence issues for a recent approach to the problem of transparent boundary condit...
In this paper, we analyze the convergence of a finite element method for the computation of transmis...
Numerical methods which are based on boundary integral formulations require the numerical evaluation...