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

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dc.contributor.advisorChan, Jesse
dc.creatorGuo, Kaihang
dc.date.accessioned2019-05-17T16:19:41Z
dc.date.available2019-05-17T16:19:41Z
dc.date.created2018-12
dc.date.issued2018-10-10
dc.date.submittedDecember 2018
dc.date.updated2019-05-17T16:19:41Z
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).
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.urihttps://hdl.handle.net/1911/105859
dc.language.isoeng
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.
dc.subjectdiscontinuous Galerkin
dc.subjectBernstein
dc.subjectGPU
dc.subjecthigh order
dc.subjectheterogeneous media
dc.titleBernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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