Finite difference diagonalization to simulate nuclear magnetic resonance diffusion experiments in porous media

A finite difference approach for computing Laplacian eigenvalues and eigenvectors in discrete porous media is derived and used to approximately solve the Bloch–Torrey equations. Neumann, Dirichlet, and Robin boundary conditions are considered and applications to simulate nuclear magnetic resonance d...

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Bibliographic Details
Published inConcepts in magnetic resonance. Part A, Bridging education and research Vol. 44; no. 3; pp. 160 - 180
Main Authors Grombacher, Denys, Nordin, Matias
Format Journal Article
LanguageEnglish
Published Blackwell Publishing Ltd 01.05.2015
Subjects
diffusion
finite difference
Laplace operator
porous media
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Summary:A finite difference approach for computing Laplacian eigenvalues and eigenvectors in discrete porous media is derived and used to approximately solve the Bloch–Torrey equations. Neumann, Dirichlet, and Robin boundary conditions are considered and applications to simulate nuclear magnetic resonance diffusion experiments are shown. The method is illustrated with MATLAB examples and computational tests in one and two dimensions and the extension to three dimensions is outlined. © 2015 Wiley Periodicals, Inc. Concepts Magn Reson Part A 44A: 160–180, 2015.
Bibliography:Stanford School of Earth, Energy, and Environmental Sciences
ark:/67375/WNG-VHZKRB3J-F
istex:13A44B894350F66F500887E3D3E3FA47E796CAD8
ArticleID:CMRA21349
Wallenberg Foundation
ISSN:1546-6086
1552-5023
DOI:10.1002/cmr.a.21349