Numerical simulation of Bloch equations for dynamic magnetic resonance imaging
Published in Appl. Numer. Math., 2018
Recommended citation: Arijit Hazra, Gert Lube, Hans-Georg Raumer, Appl. Numer. Math., 2018. https://linkinghub.elsevier.com/retrieve/pii/S0168927417302015
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.