Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations
DOI10.3934/ipi.2020056zbMath1479.65019arXiv1911.02806OpenAlexW3005988128MaRDI QIDQ2026424
Jérémy Heleine, Marion Darbas, Stéphanie Lohrengel
Publication date: 19 May 2021
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.02806
inverse problemCauchy problemMaxwell's equationsnumerical simulationsquasi-reversibility methoddata completion
Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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