NDLI: A posteriori analysis of iterative algorithms for a nonlinear problem

Content Provider	Springer Nature Link
Author	Bernardi, Christine Dakroub, Jad Mansour, Gihane Sayah, Toni
Copyright Year	2015
Abstract	A posteriori error indicators have been studied in recent years owing to their remarkable capacity to enhance both speed and accuracy in computing. This work deals with a posteriori error estimation for the finite element discretization of a nonlinear problem. For a given nonlinear equation considering finite elements we solve the discrete problem using iterative methods involving some kind of linearization. For each of them, there are actually two sources of error, namely discretization and linearization. Balancing these two errors can be very important, since it avoids performing an excessive number of iterations. Our results lead to the construction of computable upper indicators for the full error. Several numerical tests are provided to evaluate the efficiency of our indicators.
Starting Page	672
Ending Page	697
Page Count	26
File Format	PDF
ISSN	08857474
Journal	Journal of Scientific Computing
Volume Number	65
Issue Number	2
e-ISSN	15737691
Language	English
Publisher	Springer US
Publisher Date	2015-01-07
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	A posteriori error estimation Nonlinear problems Iterative methods Algorithms Computational Mathematics and Numerical Analysis ApplicationMathematics/Computational Methods of Engineering Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Engineering Computational Theory and Mathematics Computational Mathematics Numerical Analysis Software

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