Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations
From MaRDI portal
Publication:5857634
DOI10.1137/20M1330452zbMath1460.49002arXiv2004.02014OpenAlexW3135337288MaRDI QIDQ5857634
Ulrich Langer, Huidong Yang, Fredi Tröltzsch, Olaf Steinbach
Publication date: 1 April 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02014
semilinear parabolic equationslinear parabolic equationsdiscretization error estimatesparabolic optimal control problemsspace-time finite element methods
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)
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