Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations
โ Scribed by Reusken, Arnold
- Book ID
- 118191184
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 252 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0036-1429
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## Abstract This article is concerned with the numerical solution of Poisson's equation with Dirichlet boundary conditions, defined on the unit square, discretized by Hermite collocation with uniform mesh. In [1], it was demonstrated that the BiโCGSTAB method of van der Vorst [2] with block RedโBla
The effect of local preconditioning on boundary conditions is analyzed for the subsonic, one-dimensional Euler equations. Decay rates for the eigenmodes of the initial boundary value problem are determined for different boundary conditions and different preconditioners whose intent is to accelerate