dc.contributor.advisor | Ragusa, Jean C. | |
dc.creator | Wang, Yaqi | |
dc.date.accessioned | 2007-04-25T20:03:34Z | |
dc.date.available | 2007-04-25T20:03:34Z | |
dc.date.created | 2006-12 | |
dc.date.issued | 2007-04-25 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/4707 | |
dc.description.abstract | In this work, we propose, implement and test two fully automated mesh adaptation methods
for 1-D multigroup eigenproblems. The first method is the standard hp-adaptive refinement
strategy and the second technique is a goal-oriented hp-adaptive refinement strategy. The
hp-strategies deliver optimal guaranteed solutions obtained with exponential convergence rates
with respect to the number of unknowns. The goal-oriented method combines the standard
hp-adaptation technique with a goal-oriented adaptivity based on the simultaneous solution of an
adjoint problem in order to compute quantities of interest, such as reaction rates in a sub-domain
or point-wise fluxes or currents. These algorithms are tested for various multigroup 1-D
diffusion problems and the numerical results confirm the optimal, exponential convergence rates
predicted theoretically. | en |
dc.format.extent | 2504606 bytes | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | en_US | |
dc.publisher | Texas A&M University | |
dc.subject | hp-Mesh adaptation | en |
dc.subject | Multigroup | en |
dc.subject | Neutron diffusion | en |
dc.subject | Multi-mesh | en |
dc.subject | Finite element method | en |
dc.subject | Higher order | en |
dc.title | hp-mesh adaptation for 1-D multigroup neutron diffusion problems | en |
dc.type | Book | en |
dc.type | Thesis | en |
thesis.degree.department | Nuclear Engineering | en |
thesis.degree.discipline | Nuclear Engineering | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Master of Science | en |
thesis.degree.level | Masters | en |
dc.contributor.committeeMember | Adams, Marvin L. | |
dc.contributor.committeeMember | Guermond, Jean L. | |
dc.type.genre | Electronic Thesis | en |
dc.type.material | text | en |
dc.format.digitalOrigin | born digital | en |