Voxel‐based fast solution of the Lippmann‐Schwinger equation with smooth material interfaces. Issue 1 (December 2014)

• Record Type: Journal Article
• Authors: Merkert, Dennis; Andrä, Heiko; Kabel, Matthias; Schneider, Matti; Simeon, Bernd
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 14:Issue 1(2014)
• Page Start: 579
• Page End: 580
• Publication Date: 2014-12
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201410277
• Languages: English
• ISSNs: 1617-7061

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>The FFT‐based homogenization method proposed by Moulinec and Suquet [1] in 1994 to solve the Lippmann‐Schwinger equation has recently become more popular due to its computational speed and accuracy. It is based on regular voxel grids and can work on segmented CT images directly. Given an interface description on the sub‐voxel scale we show that using interface voxels with an appropriately chosen stiffness significantly enhances the accuracy of the computed effective properties and decreases voxelation effects in the solution. (© 2014 Wiley‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</p> </abstract>