Distributed parameter identification for the Navier–Stokes equations for obstacle detection

DOI10.1088/1361-6420/ad1133zbMath1530.76050MaRDI QIDQ6141560

Axel Osses, Cristóbal Bertoglio, Jorge Aguayo

Publication date: 20 December 2023

Published in: Inverse Problems (Search for Journal in Brave)

zbMATH Keywords

inverse problemregularizationsecond-order optimality conditionsolution existencequadratic cost functionalBrinkman lawdirectional do-nothing condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Inverse problems in fluid mechanics (76M21)

Cites Work

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• A posteriori error estimators for the Stokes equations
• Finite Element Methods for Incompressible Flow Problems
• Numerical PDE-Constrained Optimization
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Analysis of Obstacles Immersed in Viscous Fluids Using Brinkman's Law for Steady Stokes and Navier--Stokes Equations
• A distributed resistance inverse method for flow obstacle identification from internal velocity measurements
• The Navier-Stokes Equations
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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