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1. Piecewise polynomial approximation in 1D
2. The finite element method in 1D
3. Piecewise polynomial approximation in 2D
4. The finite element method in 2D
5. Time-dependent problems
6. Solving large sparse linear systems
7. Abstract Finite Element Analysis
8. The finite element
9. Non-linear problems
10. Transport problems
11. Solid mechanics
12. Fluid mechanics
13. Electromagnetics
14. Discontinuous Galerkin methods
A. Some additional Matlab code.

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