Analysis of a multilevel iterative method for nonlinear finite element equations
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- by Randolph E. Bank and Donald J. Rose PDF
- Math. Comp. 39 (1982), 453-465 Request permission
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.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 453-465
- MSC: Primary 65N30; Secondary 65H10
- DOI: https://doi.org/10.1090/S0025-5718-1982-0669639-X
- MathSciNet review: 669639