Timing Simulations for Elliptic Pdes Run Under Washcloth
Timing Simulations for Elliptic Pdes Run Under Washcloth
David G Korn
The book Timing Simulations for Elliptic Pdes Run Under Washcloth was written by author David G Korn Here you can read free online of Timing Simulations for Elliptic Pdes Run Under Washcloth book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Timing Simulations for Elliptic Pdes Run Under Washcloth a good or bad book?
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All of these systems can be solved concurrently. Synchronization is needed after each of the (N-l)**2 tridiagonal systems is solved and when changing grids. The interpolation and smoothing can be simultaneously performed at distinct points in the grid; however, the amount of computation is so small that it seems better to lump N points together and perform on. Y (N-l)**2 tasks concurrently. Using this method as many as (N-l)**2 simultaneous processes can be used on each of the grids. Since log ...N grids are used and the time per grid is proportional to N**3///PE the time to solve this three dimensional system using (N-l)**2 PE's is proportional to N. A computer program provided by A» Jameson [5] was parallelized and under WASHCLOTH simulation. Table 3 summarizes the results for an 8x8x8 grid. The efficiency loss is primarily due to waiting time. This should be contrasted to the matrix diagonalization code discussed in [7] where the efficiency loss is due primarily to loop initialization overhead performed by each processing element.
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