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Numerical simulation of Bloch equations for dynamic magnetic resonance imaging
, G. Lube, H.-G. Raumer
Published in Elsevier B.V.
2018
Volume: 123
   
Pages: 241 - 255
Abstract
Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging modality based on non-ionizing radiation which gives excellent images and soft tissue contrast of living tissues. We consider the modified Bloch problem as a model of MRI for flowing spins in an incompressible flow field. After establishing the well-posedness of the corresponding evolution problem, we analyze its spatial semi-discretization using discontinuous Galerkin methods. The high frequency time evolution requires a proper explicit and adaptive temporal discretization. The applicability of the approach is shown for basic examples. © 2017 IMACS
About the journal
JournalApplied Numerical Mathematics
PublisherElsevier B.V.
ISSN01689274