A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System
DOI10.1137/20M1331263zbMath1473.49034arXiv2004.05837OpenAlexW3199328648MaRDI QIDQ3382785
Marita Holtmannspötter, Arnd Rösch
Publication date: 22 September 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05837
Nonsmooth analysis (49J52) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Discrete approximations in optimal control (49M25)
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