Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations

DOI10.1088/0266-5611/30/4/045002zbMath1304.65154arXiv1310.6576OpenAlexW3102937250MaRDI QIDQ5418605

Barbara Kaltenbacher, Alana Kirchner, Boris Vexler

Publication date: 26 May 2014

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

Full work available at URL: https://arxiv.org/abs/1310.6576

zbMATH Keywords

inverse problemHilbert spaceparameter identificationconvergence ratenumerical experimentdiscrepancy principleleast squares problemill-posed problemsource conditiona posteriori parameter choiceadaptive discretizationa priori parameter choiceiteratively regularized Gauss--Newton method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Elliptic equations on manifolds, general theory (58J05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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