|
|
| General information |
|---|
Instructor:
Malgorzata Peszynska
Class:
MWF 9:00-9:50, STAG 107,
CRN: 14058 (
MTH 654 ) or 14059 (
MTH 659 )
Syllabus:
The Finite Element Method (FEM) is a numerical method for solving
partial differential equations. It provides foundation for most
contemporary methods of analysis and discretization applied to
engineering design, computational fluid dynamics, and mass and energy
flow and transport. Please read Course
Announcement for more information.
In the course we will develop the mathematical foundations and
algorithmic aspects of FEM. Topics will include error estimates,
stability analysis, grid adaptivity, and implementation issues. We
will focus on Galerkin (conforming) methods for linear stationary
problems but, time permitting, nonlinear and nonstationary problems,
and other FE dialects will be also discussed. The necessary
mathematical background in functional analysis, numerical integration,
interpolation and approximation theory will be developed. The
assignments will be a mixture of theoretical and computational
exercises. For implementation, templates will be provided both in
MATLAB and via public-domain libraries.
Students: The course is intended for graduate students of
mathematics and various science and engineering disciplines. The
basics of real variables, differential equations, and linear algebra
are required. Familiarity with numerical methods, partial differential
equations, and computer programming are a plus but
are not required.
The assignments will be a mixture of theoretical and computational
exercises. Please contact the instructor with questions.
Course Outcomes: A successful student will be able to
- Set-up variational setting of elliptic BVPs in Hilbert spaces
and their Finite Element approximation
- Use a variety of Finite Element spaces and determine an
appropriate order of convergence theoretically and numerically
- Carry out an implementation and convergence tests of
finite element algorithms using provided templates
Special arrangements for students with disabilities,
make-up exams etc.: please contact the instructor and Services for Students with
Disabilities, if relevant, and provide appropriate
documentation.
Course drop/add information is at
http://oregonstate.edu/registrar/.
|
|
