Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems

DOI10.1007/978-3-540-78827-0_28zbMath1229.76030OpenAlexW2198003997MaRDI QIDQ3616828

Christopher Linsenmann, Ronald H. W. Hoppe, Harbir Antil

Publication date: 26 March 2009

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-78827-0_28

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Navier-Stokes equations for incompressible viscous fluids (76D05) Interior-point methods (90C51) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (4)

Moreau-Yosida regularization in shape optimization with geometric constraints ⋮ Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips ⋮ On the convergence of right transforming iterations for the numerical solution of PDE‐constrained optimization problems ⋮ Smooth and robust solutions for Dirichlet boundary control of fluid-solid conjugate heat transfer problems

Uses Software

• NewtonLib

Cites Work

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• Problems on electrorheological fluid flows
• Primal–dual Newton interior point methods in shape and topology optimization
• Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part I: The Krylov--Schur Solver
• Parallel Lagrange--Newton--Krylov--Schur Methods for PDE-Constrained Optimization. Part II: The Lagrange--Newton Solver and Its Application to Optimal Control of Steady Viscous Flows
• Shape optimization by the homogenization method

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