On combining model reduction and Gauss–Newton algorithms for inverse partial differential equation problems

DOI10.1088/0266-5611/23/4/013zbMath1127.65030OpenAlexW2071167573WikidataQ115293875 ScholiaQ115293875MaRDI QIDQ5757526

Vladimir Druskin, Mikhail Zaslavsky

Publication date: 7 September 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/23/4/013

zbMATH Keywords

Gauss-Newton solution3D Maxwell systempseudo-Galerkin methods

Mathematics Subject Classification ID

Newton-type methods (49M15) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical solution to inverse problems in abstract spaces (65J22)

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Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction ⋮ A reduced basis Landweber method for the identification of piecewise constant Robin coefficient in an elliptic equation ⋮ Parameter estimation with model order reduction for elliptic differential equations ⋮ Magnetic Resonance Electrical Impedance Tomography (MREIT): Convergence and Reduced Basis Approach ⋮ A Model-Order Reduction Approach to Parametric Electromagnetic Inversion

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