Graduate Thesis Or Dissertation

 

The Variable Speed Wave Equation and Perfectly Matched Layers Public Deposited

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  • A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions remain. We introduce a new formulation from regularizing the classical Un-Split PML of the acoustic wave equation and show the well-posedness and numerical efficiency. A PML is designed to absorb incident waves traveling perpendicular to the PML, but there is no effective absorption of waves traveling with large incident angles. We suggest one method to deal with this problem and show well-posedness of the system, and some numerical experiments. For the 1-d wave equation with a constant speed equipped a PML, stability and the exponential decay rate of energy has been proved, but the question for variable sound speed equation remained open. We show that the energy decays exponentially in the 1-d PML wave equation with variable sound speed. Most PML wave equations appear as a first-order hyperbolic system with as a zero-order perturbation. We introduce a general formulation and show well-posedness and stability of the system. Furthermore we develop a discontinuous Galerkin method and analyze both the semi-discrete and fully discretized system and provide a priori error estimations.
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  • description.provenance : Made available in DSpace on 2015-07-02T15:54:08Z (GMT). No. of bitstreams: 1 KimDojin2015.pdf: 2665579 bytes, checksum: 83372f4a38941017b5deb1508a1aadfc (MD5) Previous issue date: 2015-06-04
  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2015-06-26T18:32:13Z (GMT) No. of bitstreams: 1 KimDojin2015.pdf: 2665579 bytes, checksum: 83372f4a38941017b5deb1508a1aadfc (MD5)
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  • description.provenance : Rejected by Julie Kurtz(julie.kurtz@oregonstate.edu), reason: Rejecting to change the commencement date on the bottom of the title page to read - Commencement June 2016. Everything else looks good. Once revised, log back into ScholarsArchive and go to the upload page. Replace the attached file with the revised file and resubmit. Thanks, Julie on 2015-06-26T16:22:05Z (GMT)
  • description.provenance : Submitted by Do Jin Kim (kimdoji@onid.orst.edu) on 2015-06-18T22:33:35Z No. of bitstreams: 1 KimDojin2015.pdf: 2624332 bytes, checksum: f2e7742384f0fce1c11bca9d7ffc2032 (MD5)
  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2015-07-02T15:54:08Z (GMT) No. of bitstreams: 1 KimDojin2015.pdf: 2665579 bytes, checksum: 83372f4a38941017b5deb1508a1aadfc (MD5)

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