Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system

DOI10.1007/s00245-019-09554-5zbMath1464.35184OpenAlexW2800444486MaRDI QIDQ2019998

Pablo Pedregal, Arnaud Münch, Lemoine, Jérôme

Publication date: 22 April 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09554-5

zbMATH Keywords

gradient methodleast-squares approachsteady Navier-Stokes system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Navier-Stokes equations for incompressible viscous fluids (76D05) Least squares and related methods for stochastic control systems (93E24) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

On a general variational framework for existence and uniqueness in differential equations ⋮ Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting) ⋮ Constructive Exact Control of Semilinear 1D Wave Equations by a Least-Squares Approach ⋮ Constructive exact control of semilinear 1D heat equations ⋮ A fully space-time least-squares method for the unsteady Navier-Stokes system ⋮ Approximation of null controls for semilinear heat equations using a least-squares approach

Uses Software

• FreeFem++

Cites Work

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