Block iterative algorithms for solving Hermite bicubic collocation equations. (English) Zbl 0853.65121
A local elimination technique for the Hermite bicubic collocation approximation of the Poisson problem is presented. The resulting nonsymmetric system is reduced to a block tridiagonal and “block symmetric” system. A class of block iterative algorithms is developed for this system. The convergence rates are discussed.
Reviewer: W.Heinrichs (Essen)
MSC:
65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
65F10 | Iterative numerical methods for linear systems |
35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |