2.098 Introduction to Finite Element Methods for Partial Differential Equations
Variational framework: strong form, weak form, energy. Variational approximation: Rayleigh-Ritz, Galerkin. Finite element method: approximation spaces; discrete equations; solution techniques; implementation; a priori and a posteriori error estimates; SPD eigenproblems. Components and direct stiffness assembly. Method of lines: heat equation, second-order wave equation. Advanced topics: constrained problems, nonlinear problems, reduced basis methods. Applications: elasticity, heat transfer, acoustics, incompressible flow. Implementation in MATLAB or Python.
2.098 will not be offered this semester. It will be available in the Spring semester, and will be instructed by A. Patera.
Lecture occurs 9:00 AM to 10:30 AM on Mondays and Wednesdays in 1-150.
This class counts for a total of 12 credits.
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