Mesh adaptation for stationary flow control

DOI10.1007/PL00000974zbMath0997.76041OpenAlexW2061407263MaRDI QIDQ5956415

Roland Becker

Publication date: 20 February 2002

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000974

zbMATH Keywords

first-order necessary conditionsfinite elementsincompressible Navier-Stokes equationsmodel reductionLagrangiana posteriori error estimatelocal mesh adaptationminimal drag coefficientNeumann boundary controlstationary flow control

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items

Mesh adaptation for Dirichlet flow control via Nitsche's method, A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations, OPTIMAL CONTROL AND SHAPE OPTIMIZATION OF AORTO-CORONARIC BYPASS ANASTOMOSES, Model Reduction by Adaptive Discretization in Optimal Control, A posteriori error estimates for mixed finite element solutions of convex optimal control problems, Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations, Adaptive finite element discretization in PDE-based optimization, Goal-oriented a posteriori error estimates for transport problems, Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems, A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier--Stokes Equations, Motion of floating markers on the surface of a vortex funnel, Local a posteriori error analysis of finite element method for parabolic boundary control problems