Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction
@article{Ahuja2022MultigoalorientedEE, title={Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction}, author={Kaustubh Ahuja and Bernhard Endtmayer and Marc C. Steinbach and Thomas Wick}, journal={ArXiv}, year={2022}, volume={abs/2108.05654} }
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SHOWING 1-10 OF 67 REFERENCES
Multigoal-oriented error estimates for non-linear problems
- Mathematics, Computer ScienceJ. Num. Math.
- 2019
This work formulate goal-oriented mesh adaptivity for multiple functionals of interest for nonlinear problems in which both the Partial Differential Equation (PDE) and the goal functionals may be nonlinear.
Goal-oriented error estimation for fluid–structure interaction problems
- Computer Science, Mathematics
- 2012
Goal-oriented error estimation and adaptivity for fluid–structure interaction using exact linearized adjoints
- Mathematics
- 2011
A Partition-of-Unity Dual-Weighted Residual Approach for Multi-Objective Goal Functional Error Estimation Applied to Elliptic Problems
- Computer Science, MathematicsComput. Methods Appl. Math.
- 2017
A posteriori error estimation and mesh adaptivity for multiple goal functionals is designed based on a dual-weighted residual approach in which localization is achieved in a variational form using a partition-of-unity.
Adjoint-based methods for optimization and goal-oriented error control applied to fluid-structure interaction: implementation of a partition-of-unity dual-weighted residual estimator for stationary forward FSI problems in deal.II
- MathematicsProceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference
- 2021
In this presentation, we focuson the adjoint equation in fluid-structure interaction. Derivations for both stationary and nonstationary settings are undertaken. In the latter, the adjoint is running…
Goal-oriented error estimation in the analysis of fluid flows with structural interactions
- Mathematics
- 2006
Multigoal-oriented optimal control problems with nonlinear PDE constraints
- Mathematics, Computer ScienceComput. Math. Appl.
- 2020
Finite elements for fluid–structure interaction in ALE and fully Eulerian coordinates
- Computer Science
- 2010
Adaptive time-step control for nonlinear fluid-structure interaction
- Computer ScienceJ. Comput. Phys.
- 2018
Optimal Control and Parameter Estimation for Stationary Fluid-Structure Interaction Problems
- Computer ScienceSIAM J. Sci. Comput.
- 2013
This work investigates optimization problems in which the state is given in terms of fluid-structure interactions, and focuses on the proper derivation of the adjoint equations guiding the optimization formalism.