課程目標:
熟悉變分學、結構能量原理和有限元素法之學理基礎,具備有限元素法之程式編寫能力、一維和二維度靜動態固體力學物理問題分析之學識能力。
課程內容概要:
(1) Introduction (簡介)
(2) Calculus of Variation and Applications (變分學及其應用)
(3) Weak Formulation of Boundary Value Problems (邊界值問題之弱積分式)
(4) Variational Methods of Approximation (變分近似方法)
(5) Finite Element Analysis of One-Dimensional Problems (一維度物理問題之有限元素法分析)
(6) Programming of the Finite Element (有限元素法程式編寫)
(7) Finite Element Analysis of Two-Dimensional Problems (二維度物理問題之有限元素法分析)
成績計算方式:
(a) 2 Midterm Exams. ................................................................................... 60%
(b) Homeworks............................................................................................. 20%
(c) Programming Projects ............................................................................. 20%
教科書或主要參考書:
(a) Reddy, J.N. 1993, An Introduction to the Finite Element Method, McGraw-Hill, NewYork, USA.
(b) Logan, D.L. 1998, A First Course in the Finite Element Method, PWS-KENT, Boston,USA.
(c) Becker, E.B., Carey, G.F. and Oden, J. T., Finite Elements _ An Introduction (VolumeI).
適合選修對象:
A.甲組博碩學生
建議先修基礎課程:
結構矩陣法、數值分析