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
Descripción
Sumario: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.

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