Instance-optimal goal-oriented adaptivity

07/30/2019

∙

by   Michael Innerberger, et al.

∙

0

∙

share

We consider an adaptive finite element method with arbitrary but fixed polynomial degree p > 1, where adaptivity is driven by an edge-based residual error estimator. Based on the modified maximum criterion from [Diening et al, Found. Comput. Math. 16, 2016], we propose a goal-oriented adaptive algorithm and prove that it is instance optimal. Numerical experiments underline our theoretical findings.