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Adaptive finite elements in convex optimisation

Rob Tovey, ( INRIA, Paris)

Dienstag, 11. Januar 2022 02:15Uhr

Abstract: The advantages of adaptive discretizations are well-documented, however, many convex optimization algorithms are not able to utilize these advantages. Taking a step to address this, in this talk we will analyze how the FISTA algorithm behaves with inexact discretizations. In doing so, we also prove new convergence results beyond the capabilities of the original algorithm. We will finish with numerical experiments which demonstrate the potential for improved efficiency by using adaptive finite elements in convex optimization problems.