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Lecturer: Chia-Ming Fan(范佳銘)
Email: cmfan@ntou.edu.tw
Phone: (02) 2462-2192 #6122
Webpage: https://hreweb.ntou.edu.tw/p/405-1059-47608,c8048.php?Lang=zh-tw
Course ID: M5201M2D
Credits: 3
Objective: In this classes of Meshless Methods, the students will quickly learn the fundamentals of meshless methods and their new developments. The students have to complete compter programs by themselves and understand the deep meaning of various partial differntial equations of engineering applications. Furthermore, the students will realize and analyze some cutting-edge researches related to the meshless methods in this class.
Course Prerequisites: Engineering Mathematics.
Outline:
Introduction Method of fundamental solutions Radial basis function collocation method Meshless local Petro-Galerkin method Element-free Galerkin method Localization methods
Teaching Method: Powerpoint and PDF files in classroom.
Reference:
The method of fundamental solutions -- a meshless method / C.S. Chen, A. Karageorghis, Y.S. Smyrlis Meshfree approximation methods with MATLAB / G.E. Fasshauer Mesh free methods - moving beyond the finite element method / G.R. Liu
Course Schedule (subject to change):
Introduction (3 weeks)
Method of fundamental solutions (3 weeks)
Radial basis function collocation method (3 weeks)
Meshless local Petro-Galerkin method (3 weeks)
Element-free Galerkin method (3 weeks)
Localization methods (3 weeks)
Evaluation:
Homework (50%)
mid-term report (10%)
term project (40%)
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