Optimization of configurations of field problem grids using network models |
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| Authors: | GJ Savage PH Roe G Reedel |
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| Institution: | Department of Systems Design, University of Waterloo, Waterloo, Ontario, Canada N2L 3GL |
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| Abstract: | Optimization of grid configurations decreases the discretization error in the numerical solution of field problems. In this paper, the theoretical and algorithmic aspects of optimizing configurations of grids used in equilibrium, potential-type field problems is presented. The criterion for establishing the optimum grid and the steps required to move to the optimum grid are given. Sensitivity network modelling is invoked to systematically form matrices required in the algorithm. One-dimensional examples are presented to illustrate the validity of the approach. |
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