Pressure-Robustness in Stokes-Darcy Optimal Control Problem with Reconstruction Operator
Abstract
This paper presents a pressure-robustness discretization for optimal control problems governed by the Stokes-Darcy system. We revisit the divergence constraint and interface normal continuity within a mixed finite element framework. A reconstruction operator is incorporated into both the constraint equations and the cost functional, together with suitable finite element spaces for approximation and reconstruction. The resulting scheme is pressure-robust. Numerical experiments confirm the theoretical results.
Fields of Study & Subjects
Advanced Control Systems Optimization
Optimization and Variational Analysis
Aerospace Engineering and Control Systems
Publication details
- Journal / source
- Journal of Computational Mathematics
- Publisher
- Global Science Press
- Volume
- 45
- Issue
- 1
- Pages
- 345-364
- Publication date
- 18 August 2026
- Language
- EN