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題 名 | Some Nonlinear Applications Related to the Adaptive Least-squares Finite Element Method=適應性最小平方有限元素法之應用 |
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作 者 | 謝宜宸; | 書刊名 | 國立虎尾技術學院學報 |
卷 期 | 4 2001.03[民90.03] |
頁 次 | 頁117-123 |
分類號 | 440.11 |
關鍵詞 | 適應性; 最小平方有限元素法; 期後誤差估計; Adaptive; LSFEM; A posteriori error estimator; |
語 文 | 英文(English) |
中文摘要 | 近年來以最小平方有限元素法來解一階系統之偏微分方程組的趨勢越來越明顯,本文即是將此法以一通式計算架構將期後誤差估計融入,並求非線性問題之近似解。文中舉二計算例作為本誤差估計之良窳參考。一例具正解,另一例為解二維穩定不可壓縮Navier-Stokes方程組。由貳計算例中可以看出本方法可應用在一般工程計算問題上。 |
英文摘要 | The Least-squares finite element methods (LSFEM) have recently become increasingly popular for solving partial differential equations of first-order systems. The main purpose of this article is to extend an error estimator for the LSFEM to solve not only the linear equations but also the nonlinear problems under a generic computational framework. For better understanding how the estimator performances are, two examples are presented in this paper. One of them is a two-dimensional nonlinear partial differential equation with exact solution. The other example is the incompressible Navier-Stokes equations for a two-dimensional steady driven cavity flow problem. A conclusion which can be drawn from these two computational results is the fact that the estimator can be used appropriately to deal with the nonlinear engineering problems. |
本系統中英文摘要資訊取自各篇刊載內容。