The Gradient Discretization Method for Optimal Control Problems, with Superconvergence for Nonconforming Finite Elements and Mixed-Hybrid Mimetic Finite Differences
DOI10.1137/17M1117768zbMath1375.49005arXiv1608.01726OpenAlexW3103539306MaRDI QIDQ4594524
Jérôme Droniou, Neela Nataraj, Devika Shylaja
Publication date: 24 November 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.01726
optimal controlerror estimatessuperconvergencenumerical schemeselliptic equationsgradient schemesmimetic finite differencesgradient discretization methodnonconforming \(\mathbb{P}_1\) finite elements
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
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