Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra

DOI10.1002/mma.3566zbMath1336.49033OpenAlexW1936872399MaRDI QIDQ2800535

Max Winkler, Thomas Apel, Johannes Pfefferer

Publication date: 15 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3566

zbMATH Keywords

optimal controlerror estimatesfinite element methodsingularitieslocal mesh refinementvariational discretization

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (7)

Extrapolated Polynomial Lattice Rule Integration in Computational Uncertainty Quantification ⋮ Editorial. Recent advances in finite element methods ⋮ Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients ⋮ An A Posteriori Error Estimate of the Outer Normal Derivative Using Dual Weights ⋮ A finite element method for elliptic optimal control problem on a non-convex polygon with corner singularities ⋮ Finite Element Error Estimates for Normal Derivatives on Boundary Concentrated Meshes ⋮ Superconvergence for Neumann boundary control problems governed by semilinear elliptic equations

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