Finite Element Methods 2016
Instructor: Chieh-Sen Huang
Office: 4003
e-mail:
huangcs@math.nsysu.edu.tw
URL:
www.math.nsysu.edu.tw/u/huangcs
Text Book: Introduction to Partial Differential Equations with
Application.
Author: E.C. Zachmanoglou and Dale W. Thoe
Publisher: Dover
ISBN: 0-486-65251-3
Lecture Notes:
Partial Differential Equations:
Lesson 1.tex.
Lesson 1.ps . (P171~P178)
Lesson 2.tex.
Lesson 2.ps .
(P179~P184)
Can
one hear the shape of a drum?
Laplacian 算子對應譜的最近發展
: 丘成桐先生演講
.
Lesson 3.tex.
Lesson 3.ps . (P185~P194)
Lesson 4.tex.
Lesson 4.ps . (P194~P199)
Lesson 5.tex.
Lesson 5.ps . (P199~P204)
Lesson 6.tex.
Lesson 6.ps . (P206~P214)
Lesson 7.tex.
Lesson 7.ps . (P214~P218)
proof (周洧立).
Lesson 8.tex.
Lesson 8.ps . (P261~P267)
Lesson 9.tex.
Lesson 9.ps . (P267~P273)
Lesson 10.tex.
Lesson 10.ps . (P274~P282)
Lesson 11.tex.
Lesson 11.ps . (P284~P286)
Lesson 12.tex.
Lesson 12.ps . (P286-P290)
Lesson 13.tex.
Lesson 13.ps . (P331~P339)
Lesson 14.tex.
Lesson 14.ps . (P339~P341)
Finite Element Method:
Lesson 1.tex.
Lesson 1.ps. (1.1)
Lesson 2.tex.
Lesson 2.ps. (1.2-1.3)
Lesson 3.tex.
Lesson 3.ps. (1.4)
Lesson 4.tex.
Lesson 4.ps. (1.4-1.5)
Lesson 5.tex.
Lesson 5.ps. (1.6-1.7)
Lesson 6.tex.
Lesson 6.ps. (2.1-2.3)
Lesson 6+.tex.
Lesson 6+.ps. (2.1-2.3)
Lesson 7.tex.
Lesson 7.ps. (2.4)
Lesson 8.tex.
Lesson 8.ps. (2.4.1)
Lesson 8.5.pdf. (2.4.2)
Lesson 9.tex.
Lesson 9.ps. (3.1-3.2)
Lesson 10.tex.
Lesson 10.ps. (3.2)
Lesson 11.tex.
Lesson 11.ps. (3.2-4.2)
Lesson 12.tex.
Lesson 12.ps. (4.3-4.4, 4.7)
Homework1 p173, #1.2, #1.3, #1.4.
Homework2 p178, #2.7 p186 #3.4.
Homework3 p186, #3.5, p196,#5.1, #5.2 #5.4.
Homework4 p196, #5.5, #5.6.
Homework5 p205,#7.1, #7.2, #7.3.
Homework5 p206,#8.4, #8.17, #8.20.
Homework6 p270,#1.2, #1.3, #1.7, #1.8.
Homework8 p166, #4.1(a),(b),and(Existence, Uniqueness, Stability).
Homework9 p279,#3.1, #3.2, #3.3, #3.4.
Homework10 p283, #4.1, #4.2, #4.5, #4.6.
Homework11 p290, #5.1, #5.2, #5.3#5.4.
Homework12 p335, #1.6, #1.7, p342, # 2.1, #2.4.
Midterm
Homework10 p18, #1.1, p22, #1.3, #1.5, #1.6.
Homework11 p33, #1.9, #1.10, #1.11.
Homework12 p37, #1.12, #1.14.
Homework13 p42, #1.16, #1.17, #1.18.
Homework14 Write a code to compute the linear finite element solution of -u''=f on unit square, where u =
sin(pi x/6) sin(7 pi x/4)sin(3 pi y/4)sin(5 pi y/4). Also do the
refinement study to confirm that this is a 2econd order scheme.
Homework15 p62, #2.1, #2.2, #2.6, #2.10.
Homework16 p82, #3.1, #3.2, #3.3, #3.5, #3.7, #3.8.
Last update: 2/22/2016.