Note: We have no PDE cclass on jan 24: There will not be Lecture/Exercise on jan 24.
Answers to some exercises in CDE
(pdf),
Study Guide:
Extra Support Material:
2.
PDE Lecture Notes (Do not print! this is old version that follows the "Black Book")
3. MATLAB Code Examples:
poisson.m,
poi2D.m
Useful to Exercises:
Chapter 5:
5.12, 5.23, 5.27, 5.29
Chapter 6: 6.1, 6.2, 6.3, 6.11
Also,
2: Write a FEM-formulation with piecewise linear, continuous
functions, and a uniform stepsize h=1/4.
3: The same as above, but with piecewise quadratic functions.
Chapter 7:
7.3, 7.5, 7.24, 7.31
(prove in addition that there is exactly one minimum),
7.54
Chapter 8:
8.1, 8.6, 8.7, 8.8, 8.11, 8.12, 8.16, 8.18,
8.23
Chapter 9:
9.9, 9.12, 9.13, 9.19, 9.43, 9.45, 9.46
Chapter 21:
21.1, 21.2, 21.3, 21.4, 21.5, 21.8, 21.13
Chapter 14:
14.4, 14.7, 14.10, 14.21
Chapter 15:
15.5, 15.13, 15.15, 15.20, 15.22, 15.27, 15.39, 15.44, 15.47
Chapter 16:
16.7, 16.14, 16.15, 16.18, 16.20
Chapter 17:
17.8, 17.9, 17.10, 17.11, 17.13, 17.17, 17.33
At least one question on the final exam will be to prove one of the
following theorems.
Old Exams:
Solutions:
Support material (mixed swedish and english) under construction :
4. Problems,
and
Answers (to odd problems)
1: Give a varitional formulation of -u''+u=f in (0,1), with
u(0)=u(1)=0.
Sample Exam Questions:
As for the proof of Lax-Milgram theorem,
you may use the proof of Theorem 32 in my lecture notes on web-site,
pp 177-179.
Exams and Solutions:
2012-08-29 (pdf),
2011-08-24(pdf),
2011-06-04(pdf),
2011-03-14(pdf),
2010-03-08(pdf),
2010-01-12(pdf),
2009-08-26(pdf),
2009-03-09(pdf),
2009-01-13(pdf),
2008-03-10 (pdf),
2006-12-18 (pdf),
2005-12-13 (pdf),
2004-12-14 (pdf),
2001-12-18 (pdf);
2002-12-17 (pdf);
2003-12-16 (pdf);
2004-04-13 (pdf)
2005-12-13 (pdf),
2004-12-14 (pdf),
2001-12-18 (pdf);
2002-12-17 (pdf);
2003-12-16 (pdf);
2004-04-13 (pdf)
Editor: M. Asadzadeh
Last modified:
2012-01-12