On the development of a convergence theory of synthesis methods for solving diffusion equations
β Scribed by Beny Neta; H.D. Victory Jr
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 478 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0149-1970
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π SIMILAR VOLUMES
In this paper we analyze convergence of basic iterative Jacobi and Gauss-Seidel type methods for solving linear systems which result from finite element or finite volume discretization of convection-diffusion equations on unstructured meshes. In general the resulting stiffness matrices are neither M
x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini