Show simple item record

dc.contributor.advisor Warburton, Timothy
dc.creatorAtcheson, Thomas Reid
dc.date.accessioned 2016-01-06T20:22:20Z
dc.date.available 2016-01-06T20:22:20Z
dc.date.created 2015-05
dc.date.issued 2015-04-23
dc.date.submitted May 2015
dc.identifier.citation Atcheson, Thomas Reid. "Accelerated Plane-wave Discontinuous Galerkin for Heterogeneous Scattering Problems." (2015) Diss., Rice University. https://hdl.handle.net/1911/87705.
dc.identifier.urihttps://hdl.handle.net/1911/87705
dc.description.abstract This thesis considers algorithmic and computational acceleration of numerical wave modelling at high frequencies. Numerical propagation of linear waves at high frequencies poses a significant challenge to modern simulation techniques. Despite the fact that potential practical benefits led a great deal of attention to this problem, current research has yet to provide a general and performant method to solve it. I consider finite element as a possible solution because it can handle geometric complex- ity of heterogeneous domains, but unfortunately it suffers from the “pollution” effect which imposes a prohobitively large memory requirement to handle high frequencies. One recent step towards enabling the finite element method to solve high frequency wave propagation in the frequency domain involves using a plane-wave basis rather than the standard polynomial basis. This allows highly compressed representations of scattering waves but otherwise appeared to limit users to nearly-homogeneous prob- lems. This thesis explores the use of plane-waves in a discontinuous Galerkin method (PWDG) for highly heterogeneous problems possibly containing a point source. The low-memory nature of PWDG and the fact that its expressions can be computed in an entirely symbolic manner without quadratures furthermore permits an efficient graphics processing unit (GPU) implementation such that problems with very high frequencies can be solved on a single workstation. This thesis includes computational results demonstrating results for frequencies in excess of 100 hertz on the Marmousi model, solved using only a single GPU.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectdiscontinuous galerkin
plane wave
helmholtz
graphics procesisng unit
dc.title Accelerated Plane-wave Discontinuous Galerkin for Heterogeneous Scattering Problems
dc.contributor.committeeMember Symes, William
dc.contributor.committeeMember Sorensen, Dan
dc.contributor.committeeMember Sarkar, Vivek
dc.date.updated 2016-01-06T20:22:20Z
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record