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Sobolev gradient type iterative solution methods for a nonlinear 4th order elastic plate equation.
- Source :
-
Journal of Computational Physics . Aug2022, Vol. 463, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- This paper considers the numerical solution of an elastic bending model of a thin plate, based on material nonlinearity, which leads to a nonlinear elliptic 4th order boundary value problem. Our goal is to summarize possible efficient iterative solvers, adapted to this problem, based on a Sobolev space background. It is proved that the proposed methods exhibit robust behaviour, that is, convergence rates are bounded independently of the considered Galerkin discretization subspace. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 463
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 157183896
- Full Text :
- https://doi.org/10.1016/j.jcp.2022.111235