Bernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media

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dc.contributor.advisorChan, Jesseen_US
dc.creatorGuo, Kaihangen_US
dc.date.accessioned2019-05-17T16:19:41Zen_US
dc.date.available2019-05-17T16:19:41Zen_US
dc.date.created2018-12en_US
dc.date.issued2018-10-10en_US
dc.date.submittedDecember 2018en_US
dc.date.updated2019-05-17T16:19:41Zen_US
dc.description.abstractEfficient and accurate simulations of wave propagation are central to applications in seismology. In practice, heterogeneities arise from the presence of different types of rock in the subsurface. Additionally, simulations over long time periods require high order approximation to avoid numerical dispersion and dissipation effects. The weight-adjusted discontinuous Galerkin (WADG) method delivers high order accuracy for arbitrary heterogeneous media. However, the cost of WADG grows rapidly with the order of approximation. To reduce the computational complexity of high order methods, we propose a Bernstein-Bézier WADG method, which takes advantage of the sparse structure of matrices under the Bernstein-Bézier basis. Our method reduces the computational complexity from O(N^6) to O(N^4) in three dimensions and is highly parallelizable to implement on Graphics Processing Units (GPUs).en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationGuo, Kaihang. "Bernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media." (2018) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/105859">https://hdl.handle.net/1911/105859</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/105859en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectdiscontinuous Galerkinen_US
dc.subjectBernsteinen_US
dc.subjectGPUen_US
dc.subjecthigh orderen_US
dc.subjectheterogeneous mediaen_US
dc.titleBernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous mediaen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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