Optimal shape design for a time-dependent Brinkman flow using asymptotic analysis techniques

DOI10.3233/asy-221792zbMath1530.35214OpenAlexW4283373320MaRDI QIDQ6161342

Unnamed Author, Unnamed Author, Badreddine Rjaibi

Publication date: 27 June 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-221792

zbMATH Keywords

inverse problemoptimal shape designtopological sensitivity analysistime-dependent Brinkman equation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Finite element methods applied to problems in fluid mechanics (76M10) 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) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in fluid mechanics (76M21) PDE constrained optimization (numerical aspects) (49M41)

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