Abstract
This chapter deals with Newton methods for boundary value problems (BVPs) in nonlinear partial differential equations (PDEs). There are two principal approaches: (a) finite dimensional Newton methods applied to given systems of already discretized PDEs, also called discrete Newton methods, and (b) function space oriented inexact Newton methods directly applied to continuous PDEs, at best in the form of inexact Newton multilevel methods.
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© 2011 Springer-Verlag Berlin Heidelberg
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Deuflhard, P. (2011). PDE Boundary Value Problems. In: Newton Methods for Nonlinear Problems. Springer Series in Computational Mathematics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23899-4_8
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DOI: https://doi.org/10.1007/978-3-642-23899-4_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23898-7
Online ISBN: 978-3-642-23899-4
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