Adaptive edge element approximation of \(H(\mathrm{curl}\)-elliptic optimal control problems with control constraints

DOI10.1007/s10543-014-0497-xzbMath1314.49018OpenAlexW2092240053MaRDI QIDQ2264054

Irwin Yousept, Ronald H. W. Hoppe

Publication date: 20 March 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0497-x

zbMATH Keywords

reliabilityefficiencyoptimal control of PDEsadaptive edge element approximationH(curl)-elliptic problemsresidual a posteriori error estimator

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Discrete approximations in optimal control (49M25)

Related Items (7)

Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity ⋮ Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss Law ⋮ An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design ⋮ Optimal control of the full time-dependent maxwell equations ⋮ Two new finite element schemes and their analysis for modeling of wave propagation in graphene ⋮ An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem

Uses Software

• FEniCS
• MinRes

Cites Work

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