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 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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