Application of a modified semismooth Newton method to some elasto-plastic problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F12%3A00379742" target="_blank" >RIV/68145535:_____/12:00379742 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0378475412001292" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0378475412001292</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2012.03.012" target="_blank" >10.1016/j.matcom.2012.03.012</a>

Result language
angličtina
Original language name
Application of a modified semismooth Newton method to some elasto-plastic problems
Original language description
Some elasto-plasticity models with hardening are discussed and some incremental finite element methods with different time discretisation schemes are considered. The corresponding one-time-step problems lead to variational equations with various non-linear operators. Common properties of the non-linear operators are derived and consequently a general problem is formulated. The problem can be solved by Newton-like methods. First, the semismooth Newton method is analysed. The local superlinear convergenceis proved in dependence on the finite element discretisation parameter. Then it is introduced a modified semismooth Newton method which contain suitable ?damping in each Newton iteration in addition. The determination of the damping coefficients uses the fact that the investigated problem can be formulated as a minimisation one. The method is globally convergent, independently on the discretisation parameter. Moreover the local superlinear convergence also holds. The influence of inexac
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA105%2F09%2F1830" target="_blank" >GA105/09/1830: Multiscale modelling and X-Ray thomography in geotechnics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)