8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations

DOI10.1515/9783110695984-008zbMath1487.49004arXiv2003.14141OpenAlexW4220852004MaRDI QIDQ5073476

Fredi Tröltzsch, Ulrich Langer, Huidong Yang, Olaf Steinbach

Publication date: 29 April 2022

Published in: Optimization and Control for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.14141

zbMATH Keywords

semilinear parabolic equationsspace-time finite element methodoptimal sparse control

Mathematics Subject Classification ID

Newton-type methods (49M15) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence theories for optimal control problems involving partial differential equations (49J20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Semilinear parabolic equations (35K58)

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