A two-stage numerical approach for the sparse initial source identification of a diffusion–advection equation *
DOI10.1088/1361-6420/ace548arXiv2202.01589OpenAlexW4383498471MaRDI QIDQ6171606
Umberto Biccari, Enrique Zuazua, Xiao-Ming Yuan, Yongcun Song
Publication date: 14 August 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.01589
optimal controlinverse problemprimal-dual algorithmdiffusion-advection equationsnon-smooth optimizationsparse controlinitial source identification
Optimality conditions for problems involving partial differential equations (49K20) Reaction-diffusion equations (35K57) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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