Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis

DOI10.1137/140958360zbMath1343.49043arXiv1402.5709OpenAlexW1867715742MaRDI QIDQ3195245

Patrick Sodré, Harbir Antil, Ricardo H. Nochetto

Publication date: 22 October 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5709

zbMATH Keywords

optimal controlboundary controlfinite element methodfree boundary problemcurvaturesurface tensiona-priori error estimatessharp interface modelPDE constrained optimization\(L^2\)-projectionsecond order sufficient optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Optimal control of a degenerate PDE for surface shape ⋮ A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators ⋮ Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble at low Reynolds number: the two-dimensional case ⋮ Analysis of control for a free boundary problem of steady plaques in the artery

Uses Software

• deal.ii
• NewtonLib

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