On finite element method for magnetic resonance imaging
Paper in proceedings, 2018

In this work we consider the problem of magnetic resonance imaging (MRI). We propose and formulate a finite element method to handle this problem and present an adaptive algorithm for local mesh refinements. Reconstructions from experimental MR data are shown and used to compare different interpolation techniques.

Experimental data

Finite element method


Magnetic resonance imaging


Tikhonov functional


Larisa Beilina

Chalmers, Mathematical Sciences, Applied Mathematics and Statistics

G. Guillot

Imagerie par Resonance Magnetique Medicale et Multi-Modalites

K. Niinimäki

Imagerie par Resonance Magnetique Medicale et Multi-Modalites

Springer Proceedings in Mathematics and Statistics

2194-1009 (ISSN) 2194-1017 (eISSN)

Vol. 243 119-132

38th Progress in Electromagnetics Research Symposium, PIERS 2017
St. Petersburg, Russia,

Subject Categories

Applied Mechanics

Computational Mathematics

Computer Vision and Robotics (Autonomous Systems)



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