Preconditioning the pressure tracking in fluid dynamics by shape Hessian information

DOI10.1007/s10957-008-9507-yzbMath1178.49054OpenAlexW1963982048MaRDI QIDQ1035891

Volker H. Schulz, Stephan Schmidt, Caslav Ilic, Karsten Eppler

Publication date: 4 November 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://elib.dlr.de/75978/1/Eppler.Schmidt.Schulz.Ilic-Preconditioning.the.Pressure.Tracking.in.Fluid.Dynamics.by.Shape.Hessian.Information.%282009%29.pdf

zbMATH Keywords

preconditioningshape optimizationshape Hessianaerodynamic optimizationHadamard gradient

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for compressible fluids and gas dynamics (76N25) Inverse problems in optimal control (49N45)

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Cites Work

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• Aerodynamic design via control theory
• Preconditioning of One-Shot Pseudo-Timestepping Methods for Shape Optimization
• Second-order shape optimization using wavelet BEM
• Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian
• About stability of equilibrium shapes
• Boundary integral representations of second derivatives in shape optimization
• Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM
• On Convergence in Elliptic Shape Optimization