Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery
نویسندگان
چکیده
منابع مشابه
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellbalanced, a near quadratic convergence is often observed, however, if some of the equations are much more nonlinear than the others in the system, the convergence is much slower. The slow convergence (or sometimes dive...
متن کاملA parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation
Article history: Received 1 November 2013 Accepted 2 April 2014 Available online 18 April 2014
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Inexact Newton algorithms are commonly used for solving large sparse nonlinear system of equations F (u∗) = 0 arising, for example, from the discretization of partial differential equations. Even with global strategies such as linesearch or trust region, the methods often stagnate at local minima of ‖F‖, especially for problems with unbalanced nonlinearities, because the methods do not have bui...
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The additive Schwarz preconditioned inexact Newton (ASPIN) method was recently introduced [X.-C. Cai and D. E. Keyes, SIAM J. Sci. Comput., 24 (2002), pp. 183–200] to solve the systems of nonlinear equations with nonbalanced nonlinearities. Although the ASPIN method has successfully been used to solve some difficult nonlinear equations, its convergence property has not been studied since it was...
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The multiplicative Schwarz preconditioned inexact Newton (MSPIN) algorithm is presented as a complement to additive Schwarz preconditioned inexact Newton (ASPIN). At an algebraic level, ASPIN and MSPIN are variants of the same strategy to improve the convergence of systems with unbalanced nonlinearities; however, they have natural complementarity in practice. MSPIN is naturally based on partiti...
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ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2019
ISSN: 1815-2406
DOI: 10.4208/cicp.oa-2017-0108