## 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 Bi‐CGSTAB method of van der Vorst [2] with block Red‐Bla
On the discrete conservation of the Gauss-Poisson equation of plasma physics
✍ Scribed by Bouchut, F.
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 150 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1069-8299
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✦ Synopsis
We consider numerical methods which exactly preserve the Gauss±Poisson equation when solving the charge conservation and Maxwell±AmpeÁ re's equations. Apart from the well-known leap-frog method, we present two situations where this property is veri®ed, one with rectangular mesh and functions de®ned at the center of the cells, and one with a ®nite volume type of formulation on triangles.
📜 SIMILAR VOLUMES
We introduce a new identity satisfied by solutions of the Vlasov-Poisson system. It has the property that all quantities which appear have a definite sign, and this allows us to prove new results on the time decay of the solutions in the plasma physical case.