Numerical solution of an inverse problem in magnetic resonance imaging using a regularized higher-order boundary element method

DOI10.2495/BE070311zbMath1121.65114OpenAlexW2199937600MaRDI QIDQ5757046

Richard Bowtell, C. Cobos Sanchez, Adib A. Becker, Paul Glover, I. A. Jones, Liviu Marin, Henry Power

Publication date: 24 August 2007

Published in: WIT Transactions on Modelling and Simulation, Vol 44 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2495/be070311

zbMATH Keywords

inverse problemregularizationnumerical examplesmagnetic resonance imagingTikhonov regularization methodboundary element method (BEM)static electromagnetismdivergence-free BEM

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Electro- and magnetostatics (78A30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (3)

Revisiting the minimum-norm problem ⋮ Supporting vectors for the \(\ell_1\)-norm and the \(\ell_{\infty }\)-norm and an application ⋮ Supporting vectors for the ℓ_p-norm

This page was built for publication: Numerical solution of an inverse problem in magnetic resonance imaging using a regularized higher-order boundary element method