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題名 | Comparison of Boundary Element and Finite Element Methods for the Solution of Potential Problems=境界元素法與有限元素法解析位能問題之比較 |
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作者 | 黃昌圳; |
期刊 | 逢甲學報 |
出版日期 | 19911100 |
卷期 | 24 1991.11[民80.11] |
頁次 | 頁553-571 |
分類號 | 319.4 |
語文 | eng |
關鍵詞 | 有限元素法; 位能; 解析; 境界元素法; |
中文摘要 | 本文以解析位能問題為例,從計算效率與所得結果之精確度上,對境界元素法與有 限元素法做一探討與比較。在每一種方法中,利用不同之形狀函數及配合不同程度之元素分 割為解析之依據,以求取數值解,並將結果與正確解做比較,從此項分析顯示,境界元素法 對解析LAPLACE方程式較為有利,即使需再求取解析領域內一些點之值亦然;而有限元素法 對解析POISSION方程式較為經濟。 |
英文摘要 | The computational efficiency and accuracy of the boundary element (BEM) and the finite element (FEM) methods are compared in this paper for the solution of potential problems. The comparative analysis is carried out by employing different types of element shape functions and degrees of mesh refinement to each method. Computer results are compared with closed form solutions. It is found that for the solution of Laplace's equations, the BEM is more efective than the FEM even if for the need of solving at a few interior points of the solution domain. But, for the solution of Poisson's equations, the use of the BEM is not recommended. |
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