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Instructor:
Malgorzata Peszynska
Class:
MWF 9:00-9:50, Gilkey 115, CRN: 25702 (MTH 655) or 25703 (MTH 659)
Course information:
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 background.
Syllabus: In the course we will develop basic mathematical
foundations and algorithmic aspects of FEM. Topics will include error
estimates, the related convergence and stability analysis, and
implementation issues, all mainly for Galerkin conforming FE. The model
problems will be of linear elliptic type but we will also discuss
transient and nonlinear problems. As time allows, we develop basics of
FE adaptivity, and introduce nonconforming FE methods. The
necessary background in functional analysis, numerical integration,
interpolation and approximation theory, as well as related
computational issues, will be developed.
Students:
The course is intended for graduate students of mathematics and
various science and engineering disciplines. The basics of real
variables and differential equations are required. Familiarity
with numerical methods, partial differential equations, and familiarity
with 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.
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/.
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