Math 661, Fall 2007
Instructor: Prof. Jean-Luc Guermond, 507C Blocker
Office Hours:
Class Times: TR 12:45-2:00
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Course Description:
Advanced material on the finite
element methods for solving partial differential equations;
stability, consistency,
convergence of methods and error bounds.
Course Outline:
- Partial Differential Equations (elliptic, hyperbolic, parabolic,
and
others)
- Elementary functional analysis for linear PDE's (Closed Range
Theorem, Open Mapping, BNB Theorem, inf-sup conditions)
- Interpolation theory of Finite Elements
- Inverse Inequalities
- Theory of Boundary Value Problems
- Theory of Friedrichs Systems
- Discontinuous Galerkin Method for First-Order PDEs
- Discontinuous Galerkin Method for Second-Order PDEs
- Saddle point problems (Stokes, elasticity)
- Non conforming methods
- Rviart-Thomas and Nedelec elements
The class my be reoriented to fit the needs of students if
the number of students attending is small.
Textbook:
Exams:
One midterm exam and
one final exam:
Midterm: October 11, Thursday, 12:45-2:00
BLOC 112
Final: December 12,
Wednesday 8-10 a.m.
Grading Policy:
- 50% will be determined by the homework and programming
assignments (assignments turned in late not accepted).
- 25% will be determined by the midterm and 25% by the final exam.
Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 75%,
65%, or 45%, respectively.
Make-ups:
Students must make arrangements in advance if they expect to miss an
exam.
Exam absences due to recognized University-related activities,
religious holidays,
verifiable illness, and family/medical emergencies will be dealt with
on an individual basis.
In all cases of absence from exams a written excuse is required.
Ignorance of the time and place of an exam will not be accepted as an
excuse for absence.
Students with disabilities:
Students with disabilities and special needs are referred to the office
of support services.
The office will then notify me about the details and special
arrangements that should be made.