Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F23%3A10254169" target="_blank" >RIV/61989100:27240/23:10254169 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/nla.2537" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/nla.2537</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.2537" target="_blank" >10.1002/nla.2537</a>

Result language
angličtina
Original language name
Quasi-Newton variable preconditioning for nonlinear elasticity systems in 3D
Original language description
Quasi-Newton iterations are constructed for the finite element solution of small-strain nonlinear elasticity systems in 3D. The linearizations are based on spectral equivalence and hence considered as variable preconditioners arising from proper simplifications in the differential operator. Convergence is proved, providing bounds uniformly w.r.t. the FEM discretization. Convenient iterative solvers for linearized systems are also proposed. Numerical experiments in 3D confirm that the suggested quasi-Newton methods are competitive with Newton's method.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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