Monge A, Zuazua E (2020)
Publication Type: Journal article
Publication year: 2020
Book Volume: 145
Article Number: 104801
DOI: 10.1016/j.sysconle.2020.104801
We present an algorithm for the time-inversion of diffusion–advection equations, based on the adjoint methodology. Given a final state distribution our main aim is to recover sparse initial conditions, constituted by a finite combination of Kronecker deltas, identifying their location and mass. We discuss the strengths of the adjoint machinery and the difficulties that are to be faced, in particular when the diffusivity coefficient or the time horizon is large.
APA:
Monge, A., & Zuazua, E. (2020). Sparse source identification of linear diffusion–advection equations by adjoint methods. Systems & Control Letters, 145. https://doi.org/10.1016/j.sysconle.2020.104801
MLA:
Monge, Azahar, and Enrique Zuazua. "Sparse source identification of linear diffusion–advection equations by adjoint methods." Systems & Control Letters 145 (2020).
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