Variational method of accelerating linear iterations and its applications

Karamyshev, V. B.; Kovenya, V. M.; Sleptsov, A. G.; Cherny, S. G.

doi:10.1016/0045-7930(96)00011-4

Cited by 5 publications

(3 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The algorithm for accelerating the iterations can also be used in the method of splitting (see, e.g. [4,5]). …”

Section: Methods Of Solving the Finite Difference Equationsmentioning

confidence: 99%

“…L The algorithm for accelerating the iterations allows us to obtain a more exact approximation for the error by using the already known residual vectors than the algorithms based on equation (4.2). In some cases the algorithm allows us to correct the diverging iterative processes (see the examples in [5]). …”

Section: Convergence Accelerationmentioning

confidence: 99%

“…These systems were obtained by approximating rigorous two-dimensional elliptic problems by grid-projection methods on regular and irregular grids (see [12,13]). The numerical experiments [5] on the convergence acceleration of various iterative methods for solving large unsymmetric systems of linear equations showed that the algorithm in [9] is more economical and efficient than that in [8], which is widely used at present. The numerous examples of the solution to two-dimensional problems of aerohydrodynamics show that the algorithm in [9] ensures the efficient suppression of the residual in the case of nonlinear iterative processes as well [4,5].…”

mentioning

confidence: 99%

See 2 more Smart Citations