A quasilinearization method for elliptic problems with a nonlinear boundary condition

We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under...

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Detalles Bibliográficos
Autores principales:	Amster, Pablo Gustavo, De Napoli, Pablo Luis
Publicado:	2007
Materias:	Elliptic PDEs Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Boundary conditions Convergence of numerical methods Iterative methods Linearization Partial differential equations Elliptic partial differential equations Nonlinear equations
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v66_n10_p2255_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v66_n10_p2255_Amster
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_0362546X_v66_n10_p2255_Amster
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spelling	paper:paper_0362546X_v66_n10_p2255_Amster2023-06-08T15:35:19Z A quasilinearization method for elliptic problems with a nonlinear boundary condition Amster, Pablo Gustavo De Napoli, Pablo Luis Elliptic PDEs Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Boundary conditions Convergence of numerical methods Iterative methods Linearization Partial differential equations Elliptic partial differential equations Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Nonlinear equations We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic. © 2006 Elsevier Ltd. All rights reserved. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v66_n10_p2255_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v66_n10_p2255_Amster
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Elliptic PDEs Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Boundary conditions Convergence of numerical methods Iterative methods Linearization Partial differential equations Elliptic partial differential equations Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Nonlinear equations
spellingShingle	Elliptic PDEs Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Boundary conditions Convergence of numerical methods Iterative methods Linearization Partial differential equations Elliptic partial differential equations Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Nonlinear equations Amster, Pablo Gustavo De Napoli, Pablo Luis A quasilinearization method for elliptic problems with a nonlinear boundary condition
topic_facet	Elliptic PDEs Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Boundary conditions Convergence of numerical methods Iterative methods Linearization Partial differential equations Elliptic partial differential equations Nonlinear boundary conditions Quasilinearization method Upper and lower solutions Nonlinear equations
description	We study a nonlinear elliptic second order problem with a nonlinear boundary condition. Assuming the existence of an ordered couple of a supersolution and a subsolution, we develop a quasilinearization method in order to construct an iterative scheme that converges to a solution. Furthermore, under an extra assumption we prove that the convergence is quadratic. © 2006 Elsevier Ltd. All rights reserved.
author	Amster, Pablo Gustavo De Napoli, Pablo Luis
author_facet	Amster, Pablo Gustavo De Napoli, Pablo Luis
author_sort	Amster, Pablo Gustavo
title	A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_short	A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_full	A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_fullStr	A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_full_unstemmed	A quasilinearization method for elliptic problems with a nonlinear boundary condition
title_sort	quasilinearization method for elliptic problems with a nonlinear boundary condition
publishDate	2007
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v66_n10_p2255_Amster http://hdl.handle.net/20.500.12110/paper_0362546X_v66_n10_p2255_Amster
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A quasilinearization method for elliptic problems with a nonlinear boundary condition

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