Least-squares finite-element methods for optimization and control problems for the Stokes equations
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Publication:1770672
DOI10.1016/j.camwa.2004.10.004zbMath1142.76409OpenAlexW2077931396MaRDI QIDQ1770672
Pavel B. Bochev, Max D. Gunzburger
Publication date: 7 April 2005
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.004
Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
- Finite element approximation of the Navier-Stokes equations
- Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions
- A penalty/least-squares method for optimal control problems for first-order elliptic systems
- Least squares methods for optimal shape design problems
- Least-squares methods for Stokes equations based on a discrete minus one inner product
- Finite Element Methods of Least-Squares Type
- Analysis of Least Squares Finite Element Methods for the Stokes Equations
- A least-squares approach based on a discrete minus one inner product for first order systems
- Least-squares methods for optimal control
- Least-Squares Methods for Navier-Stokes Boundary Control Problems
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