Numerical analysis of sparse initial data identification for parabolic problems

DOI10.1051/m2an/2019083zbMath1446.65114arXiv1905.01226OpenAlexW2999240830MaRDI QIDQ5118608

Boris Vexler, Daniel Walter, Dmitriy Leykekhman

Publication date: 26 August 2020

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01226

zbMATH Keywords

optimal controlerror estimatesfinite elementsparabolic problemsdiscontinuous Galerkinsparse controlpointwise error estimatessmoothing estimatesinitial data identification

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25) Second-order parabolic equations (35K10) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) PDEs with measure (35R06)

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