Comparison of the reduced-basis and PODa posteriorierror estimators for an elliptic linear-quadratic optimal control problem
DOI10.1080/13873954.2011.547678zbMath1302.49045OpenAlexW2086369281MaRDI QIDQ5411553
Timo Tonn, Karsten Urban, Stefan Volkwein
Publication date: 24 April 2014
Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/13873954.2011.547678
optimal controlproper orthogonal decompositionHelmholtz equationa posteriori error estimatereduced-basis method
Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Canonical structure (93B10) System structure simplification (93B11) Linear-quadratic optimal control problems (49N10) Decomposition methods (49M27)
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Cites Work
- Unnamed Item
- Admittance identification from point-wise sound pressure measurements using reduced-order modelling
- Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
- POD a-posteriori error estimates for linear-quadratic optimal control problems
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants
- PODa-posteriorierror based inexact SQP method for bilinear elliptic optimal control problems
- Finite Element Methods in Local Active Control of Sound
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Reduced basis method for finite volume approximations of parametrized linear evolution equations