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Published in:
1996 | OriginalPaper | Chapter
Newton-Type Linearization and Line Search Methods for Unsaturated Flow Models
Authors : Claudio Paniconi, Mario Putti
Published in: Advances in Groundwater Pollution Control and Remediation
Publisher: Springer Netherlands
Included in: Professional Book Archive
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In this paper we describe various iterative and noniterative approaches for solving the nonlinear equation governing flow in variably saturated porous media. The approaches are described within the framework of the classical Newton-Raphson method, and include simplified, approximate, combined, and accelerated methods. We give results of numerical tests conducted for one and two-dimensional problems involving both steady state and transient flow.