2017/03/17 by Arijit Hazra, Hazra, Arijit, Gert Lube +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA) #Numerical methods in inverse problems #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.1703.05985
openalex publication_date 2017/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.