Application of the sequential gradient-restoration algorithm to thermal convective instability problems

DOI10.1007/BF00939247zbMath0569.49022OpenAlexW2057150819WikidataQ113108478 ScholiaQ113108478MaRDI QIDQ1060688

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00939247

zbMATH Keywords

Bolza problemsequential gradient-restoration algorithmthermal stability of a horizontal incompressible fluid layer

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Optimality conditions for problems involving ordinary differential equations (49K15) Methods of reduced gradient type (90C52) Stability of control systems (93D99)

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Cites Work

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• Sequential gradient-restoration algorithm for optimal control problems with nondifferential constraints
• Recent advances in gradient algorithms for optimal control problems
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions
• Sequential gradient-restoration algorithm for optimal control problems
• Application of the Galerkin method to problems in hydrodynamic stability
• Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile
• Critical Reynolds number of the Orr-Sommerfeld equation
• On maintained convective motion in a fluid heated from below

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