GA 2.2 Report from Isabel
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Follow the steps from strong form to discretized form to derive the expression $\mathbf{M}=\int_\Omega\mathbf{N}^T\mathbf{N}\,\mathrm{d}\Omega$ in the term $\mathbf{M}\dot{\mathbf{u}}$. You will only be assessed on how you deal with the term that contains the time derivative. The other terms exactly following the recipe outlined for the [Poisson equation in 2D](https://mude.citg.tudelft.nl/2024/book/fem/poisson2d.html) in the book.
*1b. On the remainder of the boundary, nothing is done in the implementation to enforce any boundary conditions. Give a mathematical expression for the boundary condition that is naturally applied. Also describe an observation about the obtained solution that confirms that this boundary condition is indeed satisfied.*
- In the `get_element_K` a simpler implementation is used. What is the essential difference between $\mathbf{K}_e$ and $\mathbf{M}_e$ that is the reason why this simpler implementation is valid for $\mathbf{K}_e$? (The subscript $_e$ is used to indicate the contribution to the matrix from a single element, or the *element matrix*).
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