 
Summary: MATH 8446, University of Minnesota, Spring 2010
Numerical Analysis of Differential Equations, 2nd semester
Instructor's notes
Douglas N. Arnold
c 2010 by Douglas N. Arnold. These notes may not be duplicated without explicit permission from the author.
Contents
Chapter 6. C1
finite element spaces 1
1. Review of finite elements 1
2. The plate problem 2
3. Conforming finite elements for the plate problem 5
3.1. Hermite quintic elements 5
3.2. Reduced Hermite quintic 9
3.3. CloughTocher composite elements 9
Chapter 7. Nonconforming elements 13
1. Nonconforming finite elements for Poisson's equation 13
1.1. Nonconforming spaces of higher degree 18
2. Nonconforming finite elements for the plate equation 20
Chapter 8. Mixed finite element methods 23
1. Mixed formulation for Poisson's equation 24
