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Tuesday, August 23, 2022 - 14:45 in V2-210/216


A posteriori error estimation based on (discrete) convex duality relations

A talk in the BI.discrete Workshop series by
Alex Kaltenbach from Freiburg

Abstract: We combine a systematic approach for deriving general a posteriori error estimates for convex minimization problems based on convex duality relations with a recently derived generalized Marini formula. The resulting a posteriori error estimates are essentially constant-free and apply to a large class of variational problems including the p-Dirichlet problem, as well as degenerate minimization, obstacle and image de-noising problems. For the p-Dirichlet problem, the a posteriori error bounds are equivalent to classical residual type a posteriori error bounds and, hence, reliable and efficient.

Within the CRC this talk is associated to the project(s): B7



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