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課程名稱 |
無網格計算法
Meshless Methods for Scientific Computing |
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開課學期 |
100-1 |
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授課對象 |
工學院 水利工程組 |
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授課教師 |
楊德良 |
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課號 |
CIE7146 |
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課程識別碼 |
521 M7340 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期四6,7,8(13:20~16:20) |
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上課地點 |
土研401 |
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備註 |
總人數上限：34人 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
(1) Introduction to the meshless (meshfree) methods.
(2) Finite point methods (FPM) - Kansa’s method (MQ).
(3) Differential quadrature methods (DQ)
(4) Method of fundamental solutions (MFS).
(5) Method of particular solutions (MPS)
(6) Radial basis functions (RBF) and applications
(7) The Trefftz method (TM)
(8) Non-singular boundary element method (NSBEM).
(9) Riemann complex boundary element method (RCBEM).
(10) Green complex boundary element method (GCBEM).
(11) Applications to mechanics or other no-mechanics problems.
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課程目標 |
為銜接修習過有網格計算方法的同學，能更上一層樓，認識目前無網格計算方法的研究重點與趨勢，以符合科學計算的時代潮流。強化學生做計算研究能力的基礎，增加國內在科學計算領域的學術水準。 |
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課程要求 |
適合選修對象：大學部高年級及研究所學生
先修基礎課程：數值計算方法或有關科學計算學等課程或經授課老師認可。 |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
(1) 隨堂發論文(Papers)或講義資料(Lecture notes).
(2) Atluri, S. N., and Shen, S., 2002, The Meshless Local Petrov-Galerkin (MLPG) Method, Tech Science Press, Encino, CA, USA.
(3) Atluri, S.N., 2004, The Meshless Method (MLPG) for Domain & BIE Discretizations, Tech Science Press, Forsyth, GA, USA.
(4) Atluri, S.N., 2005, Methods for Computer Modeling in Engineering & the Sciences, Vol.1, Tech Science Press, Forsyth, GA, USA.
(5) Liu, G.-R., 2002, Mesh Free Method: Moving Beyond the Finite Element Method, CRC Press, Boca Raton, FL, USA.
(6) Srivasfava, D., and Atluri, S. N., 2002, Computational Nanotechnology, Computer Modeling in Engineering & Sciences, Vol.3, No.5, 2002.
(7) Pozrikidis, C., 1992, Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Cambridge, UK.
(8) Kythe, P.K.1996, Fundamental Solutions for Differential Solutions for Differential Operators and Applications, Birkhauser, Boston, MA, USA.
(9) Atkinson, K.E., 1997, The Numerical Solution of Integral Equations of the Second Kind, Cambridge University Press, Cambridge University, Cambridge, UK.
(10) Shu, C., 2000, Differential Quadrature and its Application in Engineering, Springer-Verlag, London, UK.
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評量方式
(僅供參考) |
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