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A Multilevel Control Iterative Method for Nonlinear Partial Different Equations |
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PP: 1499-1503 |
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Author(s) |
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Xiaoyan Deng,
Hong Gao,
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Abstract |
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| The multilevel iterative method consists of the iterative systems associated with different levels, the solution in coarse level is
in essence used as the initial guess of the iterative system in refined level. Since the different iterative targets, one doesn’t guarantee that
an excellent coarse level solution provides better starting point than a bad one for the refined level system. To decrease computational
cost a natural idea is to control the iterative times in coarse levels. The objective of this paper is to propose a multilevel iterative method
for nonlinear partial different equations. In which a controlling parameter that can be used to choose the iterative times is introduced
based on multiresolution error analysis, and a strategy of selecting iterative times is also proposed. Finally, an example is illustrated to
show the effectiveness of our method given here |
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