Asymptotic analysis for optimal control of the Cattaneo model
DOI10.1016/j.jmaa.2023.127375arXiv2302.07630OpenAlexW4372233843MaRDI QIDQ6111113
René Pinnau, Matthias Andres, Claudia Totzeck, Sebastian Blauth
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.07630
Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Classical and relativistic thermodynamics (80A10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) PDE constrained optimization (numerical aspects) (49M41) PDEs on time scales (35R07)
Cites Work
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- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Automated solution of differential equations by the finite element method. The FEniCS book
- Modeling the heating of biological tissue based on the hyperbolic heat transfer equation
- A note on stability in dual-phase-lag heat conduction
- Nonlinear functional analysis. An introduction
- Optimization with PDE Constraints
- Mesh Dependence in PDE-Constrained Optimisation
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