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Aug 01, 2025
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MATH 6860 - Finite Element Analysis
The course focuses on the mathematical and computational fundamentals as well as the applications of classical finite element methods and discontinuous Galerkin methods. The methods are presented through their formulations, matrix assembly for implementation, discrete spaces and approximation theories, stability, and error estimates. They will be applied to simulate elliptic/parabolic equations, convection-diffusion equations, and kinetic transport equations in one and higher dimensions. Galerkin-projection based reduced order models may also be discussed.
Prerequisite or Corequisite: None, but knowledge of Mathematical Analysis at the level of MATH 4200 and of Numerical Computing at the level of MATH 4800 or CSCI 4800 is recommended, along with some experience with partial differential equations and computer programming.
When Offered: SPRING TERM, EVEN YEARS
Cross Listed: CSCI 6860 . Students cannot obtain credit for both this course and CSCI 6860 .
Graded: GRADED
Credit Hours: 4
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