Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
Art der Begutachtung: | Peer review (Publikation) |
Titel: | An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems |
Autor/-in: | Amrein, Mario Melenk, Jens M. Wihler, Thomas P. |
et. al: | No |
DOI: | 10.1002/mma.4113 |
Erschienen in: | Mathematical Methods in the Applied Sciences |
Band(Heft): | 40 |
Heft: | 6 |
Seite(n): | 1973 |
Seiten bis: | 1985 |
Erscheinungsdatum: | 2-Aug-2016 |
Verlag / Hrsg. Institution: | Wiley |
ISSN: | 0170-4214 |
Sprache: | Englisch |
Schlagwörter: | Adaptive Newton method; Adaptive finite element method; Semilinear elliptic problem; Singularly perturbed problem |
Fachgebiet (DDC): | 510: Mathematik |
Zusammenfassung: | In this paper we develop an hp-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an hp-version adaptive finite element discretization (based on a robust a posteriori residual analysis), thereby leading to a fully hp-adaptive Newton-Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for various examples. |
URI: | https://digitalcollection.zhaw.ch/handle/11475/17927 |
Volltext Version: | Publizierte Version |
Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
Departement: | School of Management and Law |
Organisationseinheit: | Institut für Risk & Insurance (IRI) |
Enthalten in den Sammlungen: | Publikationen School of Management and Law |
Dateien zu dieser Ressource:
Es gibt keine Dateien zu dieser Ressource.
Zur Langanzeige
Amrein, M., Melenk, J. M., & Wihler, T. P. (2016). An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Mathematical Methods in the Applied Sciences, 40(6), 1973–1985. https://doi.org/10.1002/mma.4113
Amrein, M., Melenk, J.M. and Wihler, T.P. (2016) ‘An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems’, Mathematical Methods in the Applied Sciences, 40(6), pp. 1973–1985. Available at: https://doi.org/10.1002/mma.4113.
M. Amrein, J. M. Melenk, and T. P. Wihler, “An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems,” Mathematical Methods in the Applied Sciences, vol. 40, no. 6, pp. 1973–1985, Aug. 2016, doi: 10.1002/mma.4113.
AMREIN, Mario, Jens M. MELENK und Thomas P. WIHLER, 2016. An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Mathematical Methods in the Applied Sciences. 2 August 2016. Bd. 40, Nr. 6, S. 1973–1985. DOI 10.1002/mma.4113
Amrein, Mario, Jens M. Melenk, and Thomas P. Wihler. 2016. “An Hp-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems.” Mathematical Methods in the Applied Sciences 40 (6): 1973–85. https://doi.org/10.1002/mma.4113.
Amrein, Mario, et al. “An Hp-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems.” Mathematical Methods in the Applied Sciences, vol. 40, no. 6, Aug. 2016, pp. 1973–85, https://doi.org/10.1002/mma.4113.
Alle Ressourcen in diesem Repository sind urheberrechtlich geschützt, soweit nicht anderweitig angezeigt.