Abstract
In this note we extend the validity of the mesh-independence principle for nonlinear operator equations and their discretizations to include operators whose derivatives are only Hölder continuous.
Zusammenfassung
In dieser Note wird die Gültigkeit des Gitterunabhängigkeitsprinzip für nichtlineare Operatorgleichungen und ihre Diskretisierungen auf Operatoren ausgedehnt, deren Ableitungen nur Hölder-stetig sind.
This is a preview of subscription content, log in via an institution to check access.
References
Allgower, E. L., Böhmer, K., Potra, F. A., Rheinboldt, W. C.: A mesh independence principle for operator equations and their discretizations, S.I.A.M. J. Numer. Anal. 23, 1, 160–169 (1986).
Ortega, J. M., Rheinboldt, W. C.: Iterative solutions of nonlinear equations in several variables, Academic Press, New York, 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Argyros, I.K. A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions. Computing 45, 265–268 (1990). https://doi.org/10.1007/BF02250637
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02250637