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, P., De Nápoli, P.
Formato: JOUR
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: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 todo:paper_0362546X_v66_n10_p2255_Amster
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spelling todo:paper_0362546X_v66_n10_p2255_Amster2023-10-03T15:27:19Z A quasilinearization method for elliptic problems with a nonlinear boundary condition Amster, P. De Nápoli, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, P.
De Nápoli, P.
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.
format JOUR
author Amster, P.
De Nápoli, P.
author_facet Amster, P.
De Nápoli, P.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_0362546X_v66_n10_p2255_Amster
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AT denapolip aquasilinearizationmethodforellipticproblemswithanonlinearboundarycondition
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AT denapolip quasilinearizationmethodforellipticproblemswithanonlinearboundarycondition
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