This lecture wraps up our discussion of discrete exterior calculus, which will provide the basis for many of the algorithms we’ll develop in this class. Here we’ll encounter the same operations as in the smooth setting (Hodge star, wedge product, exterior derivative, etc.), which in the discrete setting are encoded by simple matrices that translate problems involving differential forms into ordinary linear algebra problems.

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Typo on slide 28: the formula for circumcentric dual, $l_{ij}^2 \cot a_{k}^{jk}$ should be $l_{ij}^2 \cot a_{k}^{ij}$