A Multilevel Nonlinear Method
Authors:
- Irad YavnehIYIrad Yavneh
- Gregory DardykGDGregory Dardyk
- 1 January 2006
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific Computing
- Vol. 28 (1) , 24-46
Abstract
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.Keywords
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