Regula falsi based automatic regularization method for PDE constrained optimization
DOI10.1016/j.cam.2018.08.050zbMath1408.65068arXiv1804.04542OpenAlexW2797603793MaRDI QIDQ1757343
Publication date: 4 January 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04542
regularizationNewton-KrylovMorozov's discrepancy principleinverse scatteringPDE constrained optimization
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) PDEs in connection with optics and electromagnetic theory (35Q60) Regularity of solutions in optimal control (49N60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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