๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The solution of nonlinear finite element equations

โœ Scribed by Hermann Matthies; Gilbert Strang


Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
761 KB
Volume
14
Category
Article
ISSN
0029-5981

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๐Ÿ“œ SIMILAR VOLUMES


Transformation of dependent variables an
โœ Libor ฤŒermรกk; Miloลก Zlรกmal ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 507 KB

## Abstract Transformation of dependent variables as, for example, the Kirchhoff transformation, is a classical tool for solving nonlinear partial differential equations. This approach is used here in connection with the finite element method and explained first in case of nonlinear heat conduction

Solution of the Nonlinear Poissonโ€“Boltzm
โœ A.I. Shestakov; J.L. Milovich; A. Noy ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 256 KB

The nonlinear Poisson-Boltzmann (PB) equation is solved using Newton-Krylov iterations coupled with pseudo-transient continuation. The PB potential is used to compute the electrostatic energy and evaluate the force on a user-specified contour. The PB solver is embedded in a existing, 3D, massively p

Adaptive Finite-Element Solution of the
โœ W.Richard Bowen; Adel O. Sharif ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

A Galerkin finite-element approach combined with an error estimator and automatic mesh refinement has been used to provide a flexible numerical solution of the Poisson-Boltzmann equation. A Newton sequence technique was used to solve the nonlinear equations arising from the finite-element discretiza

Finite element solution for the transcri
โœ Nicole Goutal; J. C. Nedelec ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 708 KB

## Communicated by J. C. Nedelec A new solution of the two-dimensional shallow-water equations, using a finite element method is described. The formulation is based on the velocity and height variables and follows two step. In the first step, the convective terms are solved by a characteristic met