Exponential Convergence of $hp$-Finite Element Discretization of Optimal Boundary Control Problems with Elliptic Partial Differential Equations

DOI10.1137/15M1006386zbMath1398.65146OpenAlexW2524953147MaRDI QIDQ2822792

Daniel Wachsmuth, J.-E. Wurst

Publication date: 5 October 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1006386

zbMATH Keywords

optimal controlexponential convergenceanalytic regularity\(hp\)-finite elements

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (4)

Error estimates of \textit{hp} spectral element methods in nonlinear optimal control problem ⋮ A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements ⋮ Non-commutative discretize-then-optimize algorithms for elliptic PDE-constrained optimal control problems ⋮ A priori and a posteriori error analysis of \textit{hp} spectral element discretization for optimal control problems with elliptic equations

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