Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints

DOI10.1137/070687426zbMath1185.65174OpenAlexW2042892834MaRDI QIDQ5189675

George Biros, Santi S. Adavani

Publication date: 10 March 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://repository.upenn.edu/meam_papers/164

zbMATH Keywords

convergenceheat equationinverse problemspreconditioningTikhonov regularizationnumerical experimentconjugate gradientsreaction-diffusion equationsinversion algorithmmultigrid algorithmsource identificationbackward-Euler finite-difference schemevariable-coefficient linear parabolic equations

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) 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) Iterative numerical methods for linear systems (65F10) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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