Covering group and graph of discretized volumes |
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Authors: | Mihály Makai Yuri Orechwa |
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Affiliation: | (1) KFKI Atomic Energy Research Institute, POB 49, H-1525 Budapest 114, Hungary;(2) Nuclear Regulatory Commission, 11555 Rockville Pike, 20852 Rockville, MD, USA |
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Abstract: | We consider a discretized volume V consisting of finite, congruent and attached copies of a tile t. We find a group L V the orbit of which, when applied to t, is just V. We show the connection between the structural matrixQ in the formal solution of a boundary value problem formulated for volume V and the so called auxiliary matrix of the graph Γ v associated with V. We show boundary value problems to be isomorphic if the graphs associated with the volumes are isomorphic, or, if the covering groups are Sunada pairs. |
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Keywords: | boundary value problem point group covering group discretization Green’ s function |
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