Title: Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging,
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 semidiscretization 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.