𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the convergence of nonlinear simultaneous displacements

✍ Scribed by A. Pasquali

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
235 KB
Volume
3
Category
Article
ISSN
0022-0000

No coin nor oath required. For personal study only.

✦ Synopsis

In this work we obtain a convergence criterion for the nonlinear simultaneous displacements method. After some remarks on the iterative modified Newton-like methods, we also obtain a convergence theorem for a stationary modification of nonlinear simultaneous displacements method.

πŸ“œ SIMILAR VOLUMES

On the acceleration of the preconditione
On the acceleration of the preconditioned simultaneous displacement method
✍ N.M. Missirlis; D.J. Evans πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 698 KB

This paper considers the application of various accelerated techniques of the Beconditioned Simultaneous Displacement method (PSD method) [3]. The resulting methods possess rates of convergence which ape improved by an order of magnitude as compared with the weZ1 knowl SOR method. However, it is sh

On the convergence of nonlinear plate so
On the convergence of nonlinear plate solutions
✍ M.ZΓΌlfΓΌ Aşik; C.V.G. Vallabhan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 461 KB

ln modern buildings, especially in commercial buildings, large glass panels are used as windows. Design of ithese glass panels is becoming important. Behavior of the thin glass panels is geometrically nonlinear. Thus, analysis needs iterative solution and the solution of nonlinear plate problems wi

On Accelerating the Convergence of Nonli
On Accelerating the Convergence of Nonlinear Iterative Algorithms
✍ D.W. Black; A.P. Rothmayer πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 505 KB

The underlying theory of vector sequence extrapolation methods for linear and nonlinear problems is examined. It is shown that nonlinearity limits savings in total number of iterations to \(50 \%\) for strongly nonlinear problems when linear-based extrapolation methods are used. In support of this c

On the convergence of a certain type of
On the convergence of a certain type of nonlinear lumped energy equations
✍ A. Salazar; A. Campo πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 1 views

proposed a simple iterative procedure to solve approximately a forced convection heat-transfer problem inside a tube subjected to nonlinear convective boundary conditions. Their technique relied on solutions of a one-dimensional ordinary differential equation of first order to estimate the behavior