Solving the interior and exterior Laplace problem in a two-dimensional multiply connected domain
碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 95 === In this paper we obtain the series solution by the separation of variables method for two-dimensional Laplace equation and calculate the coefficient of the series solution by the collocation method. We also introduce the characteristic length to improve the a...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/35224248717681571097 |
| Summary: | 碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 95 === In this paper we obtain the series solution by the separation of variables method for two-dimensional Laplace equation and calculate the coefficient of the series solution by the collocation method. We also introduce the characteristic length to improve the accuracy and the stability. This method can be used in both simply connected domain and multiply connected domain. The shape of boundary is arbitrary. This method can also be used in both interior problem and exterior problem. This method has high accuracy and stability even under the boundary data disturbance.
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