Borsos, B. and Karátson, J. (2019) Variable preconditioning for strongly nonlinear elliptic problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 350. pp. 155-164. ISSN 0377-0427
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Official URL: http://doi.org/10.1016/j.cam.2018.10.004
Abstract
Variable preconditioning has earlier been developed as a realization of quasi-Newton methods for elliptic problems with uniformly bounded nonlinearities. This paper presents a generalization of this approach to strongly nonlinear problems, first on an operator level, then for elliptic problems allowing power order growth of nonlinearities. Numerical tests reinforce the convergence results.
| Item Type: | Article |
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| Uncontrolled Keywords: | Variable preconditioning, quasi-Newton methods, iterative methods, nonlinear elliptic problems |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 08 Oct 2019 11:46 |
| Last Modified: | 08 Oct 2019 11:46 |
| URI: | http://real.mtak.hu/id/eprint/102130 |
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