Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data
DOI10.1016/j.jmaa.2024.128109OpenAlexW4390843907MaRDI QIDQ6198315
Publication date: 21 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2024.128109
finite element methodmeasure dataa priori error estimatesboundary control problemcompletely discrete problem
Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs with measure (35R06)
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