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.