Authors
Irad Yavneh, Gregory Dardyk
Publication date
2006
Journal
SIAM journal on scientific computing
Volume
28
Issue
1
Pages
24-46
Publisher
Society for Industrial and Applied Mathematics
Description
A multilevel nonlinear method (MNM) for the numerical solution of nonlinear partial differential equations is developed. The MNM algorithm is motivated and analyzed using a simplified model which retains the essential features of the new approach. It is thereby shown to combine the advantages of the two classical multigrid approaches to nonlinear problems. The analysis is supported by numerical tests for nonlinear differential equations in one and two dimensions.
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Scholar articles
I Yavneh, G Dardyk - SIAM journal on scientific computing, 2006