An adaptive finite element method in reconstruction of coefficients in Maxwell's equations from limited observations.

DOI10.1007/s10492-016-0131-0zbMath1413.65363arXiv1510.07525OpenAlexW1885521857MaRDI QIDQ289753

Samar Hosseinzadegan, Larisa Beilina

Publication date: 31 May 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07525

zbMATH Keywords

Tikhonov functionala posteriori error estimateMaxwell's systemLagrangian approachcoefficient inverse problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

Numerical resolution of an electromagnetic inverse medium problem at fixed frequency ⋮ Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations ⋮ Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency

Uses Software

• PETSc
• WavES

Cites Work

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