Harvard AM205 video 4.12 - PDE-constrained optimization

Harvard Applied Math 205 is a graduate-level course on scientific computing and numerical methods. This video briefly introduces PDE-constrained optimization, where the goal is to optimize certain aspects of a solution to a partial differential equation. Since solving partial differential equations can be computationally expensive, this motivates the development of several approaches for rapidly evaluating the gradient of an objective function, such as by using an adjoint equation. For more information see the main course website at https://people.math.wisc.edu/~chr/am205