MATH 7760
MATHEMATICAL FOUNDATIONS OF THE FINITE ELEMENT METHOD
Fall 1995 Syllabus

Instructor:

Jan Mandel

Office:

CU Denver Building 620, phone 556-4475

Electronic mail:

jmandel@tiger.cudenver.edu

Office hours:

Monday and Wednesday 5-6:45

Text:

S. Brenner and R. Scott, The Mathematical Theory of Finite Elements Methods

Topics covered:

• Ch. 0 Basic concepts
• Basics of Lebesgue integration (in addition to the book)
• Ch. 1 Sobolev spaces
• Ch. 2 Variational formulation of elliptic boundary value problems
• Ch. 3 Construction of a finite element space
• Ch. 4 Polynomial approximation theory in finite element spaces
• Ch. 5 n-dimensional variational problems (except 5.8)
• selected topics from further chapters: multigrid methods, mixed finite elements, max-norm estimates, interpolation of linear operators

Exercises

Students should do as many exercises from the relevant chapters from the book as possible. Ask me if you want me to work specific exercises in class.

Homeworks

There will be sets of homework problems every two to three weeks.

Exams

The midterm exam will be in class on October 18, 1995. The final will be take-home, given December 4 and due December 13.

Grading

40% each exam, 20% homeworks

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