Shape optimization for Stokes problem with threshold slip boundary conditions

DOI10.3934/dcdss.2017069zbMath1369.49007OpenAlexW2650170879WikidataQ109299391 ScholiaQ109299391MaRDI QIDQ2360460

Jan Stebel, Raino A. E. Mäkinen, Jaroslav Haslinger

Publication date: 4 July 2017

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2017069

zbMATH Keywords

finite element methodvariational inequalityshape optimizationStokes problemfriction boundary condition

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational inequalities (49J40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (2)

Shape optimization for the Stokes hemivariational inequality with slip boundary condition ⋮ Long‐time behavior of shape design solutions for the Navier–Stokes equations

Uses Software

• Matlab
• Optimization Toolbox

Cites Work

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• STEADY STOKES FLOWS WITH THRESHOLD SLIP BOUNDARY CONDITIONS
• Stokes problem with a solution dependent slip bound: Stability of solutions with respect to domains

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