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.
| Identifer | oai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4707 |
| Date | 25 April 2007 |
| Creators | Wang, Yaqi |
| Contributors | Ragusa, Jean C. |
| Publisher | Texas A&M University |
| Source Sets | Texas A and M University |
| Language | en_US |
| Detected Language | English |
| Type | Book, Thesis, Electronic Thesis, text |
| Format | 2504606 bytes, electronic, application/pdf, born digital |
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