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Investigation of the convergence rate of the multigrid method on quasinested adaptive grids
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A. E. Eroshin
Veröffentlicht/Copyright:
3. Mai 2007
In this paper, we investigate the convergence rate of the multigrid method for solving the Helmholtz equation with boundary Dirichlet conditions for a sequence of quasinested adaptive grids. The symmetrical Gauss–Seidel method is used as smoothing. There is made a comparison with the method based on the fast discrete Fourier transform in application scenarios. Earlier there was investigated the convergence of the multigrid method in which the smoothing Jacobi and Richardson operators were used. We give the results of numerical experiments that show the higher convergence rate of the algorithm proposed.
Published Online: 2007-05-03
Published in Print: 2003-10-01
Copyright 2003, Walter de Gruyter
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Artikel in diesem Heft
- Numerical aspects of one stabilization method
- Numerical aspects of one stabilization method
- Investigation of the convergence rate of the multigrid method on quasinested adaptive grids
- Investigation of the convergence rate of the multigrid method on quasinested adaptive grids
- Numerical solution of quasilinear parabolic equations and backward stochastic differential equations
- Numerical solution of quasilinear parabolic equations and backward stochastic differential equations
- Optimization of Monte Carlo weighted methods for part of variables
- Optimization of Monte Carlo weighted methods for part of variables
- Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes
- Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes
Artikel in diesem Heft
- Numerical aspects of one stabilization method
- Numerical aspects of one stabilization method
- Investigation of the convergence rate of the multigrid method on quasinested adaptive grids
- Investigation of the convergence rate of the multigrid method on quasinested adaptive grids
- Numerical solution of quasilinear parabolic equations and backward stochastic differential equations
- Numerical solution of quasilinear parabolic equations and backward stochastic differential equations
- Optimization of Monte Carlo weighted methods for part of variables
- Optimization of Monte Carlo weighted methods for part of variables
- Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes
- Grid approximation of a singularly perturbed one-dimensional heat equation on an unbounded domain excluding a rectangle with sides noncollinear to the axes
