Fast Algorithms for Source Identification Problems with Elliptic PDE Constraints

DOI10.1137/080738064zbMath1201.65201OpenAlexW1971368170MaRDI QIDQ3052949

George Biros, Santi S. Adavani

Publication date: 3 November 2010

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080738064

zbMATH Keywords

computational complexityconvergenceinverse problemsnumerical experimentsboundary value problemsiterative methodsconjugate gradient algorithmleast-squareselliptic partial differential equationspreconditionerssource identificationPDE-constrained optimization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Complexity and performance of numerical algorithms (65Y20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Preconditioners for iterative methods (65F08)

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