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Mathematics of Computation

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Analysis of a multilevel iterative method for nonlinear finite element equations

Authors: Randolph E. Bank and Donald J. Rose
Journal: Math. Comp. 39 (1982), 453-465
MSC: Primary 65N30; Secondary 65H10
MathSciNet review: 669639
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Abstract: The multilevel iterative technique is a powerful technique for solving the systems of equations associated with discretized partial differential equations. We describe how this technique can be combined with a globally convergent approximate Newton method to solve nonlinear partial differential equations. We show that asymptotically only one Newton iteration per level is required; thus the complexity for linear and nonlinear problems is essentially equal.

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Article copyright: © Copyright 1982 American Mathematical Society