Two-grid partition of unity method for second order elliptic problems |
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Authors: | Cheng Wang Zi-ping Huang Li-kang Li |
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Affiliation: | 1. Department of Mathematics,Tongji University,Shanghai 200092,P.R.China 2. Chinese-German College,Tongji University,Shanghai 200092,P.R.China 3. Department of Mathematics,Fudan University,Shanghai 200433,P.R.China |
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Abstract: | A two-grid partition of unity method for second order elliptic problems is proposed and analyzed.The standard two-grid method is a local and parallel method usually leading to a discontinuous solution in the entire computational domain.Partition of unity method is employed to glue all the local solutions together to get the global continuous one.which is optimal in H1-norm.Furthermore,it is shown that the L2 error can be improved by using the coarse grid correction.Numerical experiments are reported to support the theoretical results. |
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Keywords: | second order elliptic problems two-grid method partition of unity |
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