MATH 8660-001 Math Finite Elmntl Mthds
Fall 2009
Department of Mathematical Sciences
University of Colorado Denver

PREREQUISITE:
MATH 6653 (or equivalent programming experience), and MATH 6131/7132, or with instructor's approval

HOURS, PLACE: TR 1-2:15 pm, CU (Dravo) 626.

INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo) 644. Phone: 556-8102.
Office hours: by appointment
WWW: http://www-math.ucdenver.edu/~aknyazev/

Official Course Description
MATH 8660-3. Mathematical Foundations of Finite Element Methods. Every other year. Theoretical foundations of finite element methods for elliptic boundary value problems, Sobolev spaces, interpolations of Sobolev spaces, variational formulation of elliptic boundary-value problems, basic error, estimates, applications to elasticity, practical aspects of finite element methods.

TEXTBOOKS: Required:
Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
by Dietrich Braess
384 pages Publisher: Cambridge University Press; 3 edition, 2007
ISBN-10: 0521705185 ISBN-13: 978-0521705189
E-book Buy ISBN-10: 0511276109 ISBN-13: 978-0511276101 Approx. $40

Suggested independent reading
Strongly Elliptic Systems and Boundary Integral Equations
by William McLean
Cambridge University Press, 2000 ISBN: 052166375X
Applied Functional Analysis
by J. Tinsley Oden and Leszek Demkowicz,
Hardcover: 672 pages Publisher: CRC, 1996
ISBN-10: 084932551X ISBN-13: 978-0849325519 Approx. $100

CONTENTS:
The class will follow the outline below, touching on each major topic in a depth that will be determined by the pace of the class.

If time allows, eigenvalue problems will be also covered, using research publications.

GRADING will be based on research projects.


REQUIRED INFORMATION FROM CLAS