Incomplete-leaf multilevel fast multipole algorithm for multiscale penetrable objects formulated with volume integral equations

Simple item page
dc.citation.epage4918en_US
dc.citation.issueNumber9en_US
dc.citation.spage4914en_US
dc.citation.volumeNumber65en_US
dc.contributor.authorTakrimi, M.en_US
dc.contributor.authorErgül, Ö.en_US
dc.contributor.authorErtürk, V. B.en_US
dc.date.accessioned2018-04-12T11:03:00Z
dc.date.available2018-04-12T11:03:00Z
dc.date.issued2017en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractRecently introduced incomplete-leaf (IL) tree structures for multilevel fast multipole algorithm (referred to as IL-MLFMA) is proposed for the analysis of multiscale inhomogeneous penetrable objects, in which there are multiple orders of magnitude differences among the mesh sizes. Considering a maximum Schaubert-Wilton-Glisson function population threshold per box, only overcrowded boxes are recursively divided into proper smaller boxes, leading to IL tree structures consisting of variable box sizes. Such an approach: 1) significantly reduces the CPU time for near-field calculations regarding overcrowded boxes, resulting a superior efficiency in comparison with the conventional MLFMA where fixed-size boxes are used and 2) effectively reduces the computational error of the conventional MLFMA for multiscale problems, where the protrusion of the basis/testing functions from their respective boxes dramatically impairs the validity of the addition theorem. Moreover, because IL-MLFMA is able to use deep levels safely and without compromising the accuracy, the memory consumption is significantly reduced compared with that of the conventional MLFMA. Several examples are provided to assess the accuracy and the efficiency of IL-MLFMA for multiscale penetrable objects.en_US
dc.identifier.doi10.1109/TAP.2017.2722858en_US
dc.identifier.issn0018-926X
dc.identifier.urihttp://hdl.handle.net/11693/37107
dc.language.isoEnglishen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1109/TAP.2017.2722858en_US
dc.source.titleIEEE Transactions on Antennas and Propagationen_US
dc.subjectIncomplete leaf (IL)en_US
dc.subjectMultilevel fast multipole algorithm (MLFMA)en_US
dc.subjectMultiscale problemsen_US
dc.subjectVolume integral equations (VIEs)en_US
dc.titleIncomplete-leaf multilevel fast multipole algorithm for multiscale penetrable objects formulated with volume integral equationsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Incomplete-Leaf Multilevel Fast Multipole Algorithm for Multiscale Penetrable Objects Formulated With Volume Integral Equations.pdf
Size:
1.21 MB
Format:
Adobe Portable Document Format
Description:
Full printable version
Download

Collections

Department of Electrical and Electronics Engineering