Block steepest descent method based on nonoverlapping domain decomposition, I
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Yuri A. Kuznetsov
Abstract
In the present paper we propose a new iterative method for the numerical solution of system of linear algebraic equations with symmetric positive definite and positive semidefinite matrices arising from the approximation of diffusion equations by the mixed hybrid finite element method on triangular and tetrahedral meshes. The method is based on a combination of the block steepest descent idea and nonoverlapping domain decomposition algorithm. We give the formulation of the method and a simple convergence estimate in the case of regular shaped quasiuniform meshes.
Acknowledgment
The author would like to thank V.K. Kramarenko and I.N. Konshin for their help in the preparation of the paper.
References
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Artikel in diesem Heft
- Frontmatter
- Research Article
- Solution of radiative transfer theory problems for ‘realistic’ models of random media using the Monte Carlo method
- Research Article
- An application of a data assimilation method based on the diffusion stochastic process theory using altimetry data in Atlantic
- Research Article
- Characteristics of finite difference methods for dispersive shallow water equations
- Research Article
- Numerical modelling of coupled neutral atmospheric general circulation and ionosphere D region
- Research Article
- Block steepest descent method based on nonoverlapping domain decomposition, I
- Research Article
- Stochastic models of piecewise-constant and piecewise-linear non-Gaussian processes based on Poisson flows
