Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction
Abstract
In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the dual-weighted residual method for goal-oriented a posteriori error estimation, adjoint sensitivities are required. For multigoal-oriented error estimation, a combined functional is formulated such that several quantities of interest are controlled simultaneously. As localization technique for mesh refinement we employ a partition-of-unity. Our algorithmic developments are substantiated with several numerical tests such as an elastic lid-driven cavity with two goal functionals, an elastic bar in a chamber with two goal functionals, and the FSI-1 benchmark with three goal functionals.
Keywords
Cite
@article{arxiv.2108.05654,
title = {Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction},
author = {K. Ahuja and B. Endtmayer and M. C. Steinbach and T. Wick},
journal= {arXiv preprint arXiv:2108.05654},
year = {2021}
}
Comments
26 pages, 8 figures, 9 tables