POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots

DOI10.1007/978-3-319-96415-7_65zbMath1427.65247arXiv1712.06523OpenAlexW2963818111MaRDI QIDQ2008746

Carmen Gräßle, Michael Hinze, Nicolas Scharmacher

Publication date: 26 November 2019

Full work available at URL: https://arxiv.org/abs/1712.06523

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Linear-quadratic optimal control problems (49N10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items (5)

Simulation and Control of a Nonsmooth Cahn–Hilliard Navier–Stokes System with Variable Fluid Densities ⋮ Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization ⋮ A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements ⋮ A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE ⋮ Non-intrusive data-driven model reduction for differential-algebraic equations derived from lifting transformations

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