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Explore adaptive numerical solution methods for partial differential equations (PDEs) in this comprehensive lecture. Delve into the potential of adaptive methods before examining a posteriori error estimation for finite element discretizations of elliptic PDEs. Learn about newest vertex bisection and gain insights into the adaptive finite element loop. This in-depth presentation, part of the Hausdorff Trimester Program Multiscale Problems: Winter School on Numerical Analysis of Multiscale Problems, offers valuable knowledge for those interested in advanced numerical analysis techniques.
