by Dietrich Braess
ISBN-10: 0521705185 ISBN-13: 978-0521705189
E-book Buy ISBN-10: 0511276109 ISBN-13: 978-0511276101 Approx. $40
PREREQUISITE:
MATH 6653 (or equivalent programming experience), and MATH
6131/7132, or with instructor's approval
HOURS, PLACE: TR 12:30-1:45 pm, CU 641.
INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU 644. Phone: 303 556 8102.
Office hours: by appointment
WWW: http://www-math.ucdenver.edu/~aknyazev/
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. Prereq: MATH 6653 (or equivalent programming experience), and MATH 6131/7132.
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 |
 |
Applied
Functional
Analysis by J. Tinsley Oden and Leszek Demkowicz, Hardcover: 596 pages Publisher: CRC, 2010 ISBN-10: 1420091956 | ISBN-13: 978-1420091953 Approx. $100 |
 |
Strongly
Elliptic Systems and Boundary Integral Equations by William McLean Cambridge University Press, 2000 ISBN: 052166375X |
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Sobolev
Spaces, Second Edition by Robert A. Adams and John J. F. Fournier Cambridge University Press, 2003 ISBN-10: 0120441438 | ISBN-13: 978-0120441433 |
 |
Integral,
Measure, and Derivative by Georgi. Shilov, B. L. Gurevich , and Richard A. Silverman (Translator), ISBN: 0486635198, Publisher Dover Publications. |
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.