Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776545 | Applied Numerical Mathematics | 2018 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Arijit Hazra, Gert Lube, Hans-Georg Raumer,