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hp-mesh adaptation for 1-D multigroup neutron diffusion problems

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.

Identiferoai:union.ndltd.org:tamu.edu/oai:repository.tamu.edu:1969.1/4707
Date25 April 2007
CreatorsWang, Yaqi
ContributorsRagusa, Jean C.
PublisherTexas A&M University
Source SetsTexas A and M University
Languageen_US
Detected LanguageEnglish
TypeBook, Thesis, Electronic Thesis, text
Format2504606 bytes, electronic, application/pdf, born digital

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