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 ISBN-10: 0521705185 ISBN-13: 978-0521705189 E-book Buy ISBN-10: 0511276109 ISBN-13: 978-0511276101 Approx. $40 |
|
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.