Investigation of Accelerating the Finite Element Solution of the Two Dimensional Steady State Heat Transfer Equation.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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The relative solution time is studied for two methods of accelerating successive overrelaxation. Reordering of equations by nodal point scanning, and coarse mesh rebalancing are used. The finite element solution of the steady-state two-dimensional heat transfer equation is used to test these methods. Scanning the boundary nodal points first was found to reduce the number of iterations necessary for convergence by up to 13, but computer execution was increased by up to 7. Coarse mesh rebalancing was found to speed the solution with arbitrary successive overrelaxation factor by reducing the number of iterations to 15 of that without rebalancing. The computer execution time required for a well chosen coarse mesh was only reduced to 30 of that without rebalancing. The successive overrelaxation factor was found to influence the optimum rebalancing frequency. Solutions as fast as the solution with the optimum overrelaxation factor were obtained with rebalancing and arbitrary overrelaxation factors. Rules for a proper coarse mesh and rebalancing frequency are given. Author
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