Abstract
Several parallel iterative strategies based on domain segmentation were previously developed by the authors. While each is effective, the error distribution after every global iteration is not uniform within each segment, the error being greater at the extremities. A correction to the solution is developed at the interfaces between the disjoint segments which accelerates convergence.
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Barry, J.M., Pollard, J.P. and Wachspress E.L. (1988a) - Some parallel iterative schemes for large systems of linear equations arising in three dimensional modelling - to appear.
Barry, J.M., Pollard, J.P. and Wachspress, E.L. (1988b) - A method of parallel iteration - to appear.
Barry, J.M. and Wachspress, E.L. (1988) - A method of parallel iteration based on polynomial correction in Noye J. and Fletcher C., Computational techniques and applications CTAC-87, North Holland, pp. 93–98.
Mahoney, M.A. and Wachspress, E.L. (1985) - Numerical solution of 3D neutron group diffusion equations on the CYBER-205 computer, in Proceedings of international meeting on advances in nuclear engineering computational methods, American Nuclear Society (1), pp. 66–71.
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© 1991 Springer-Verlag Berlin Heidelberg
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Barry, J.M., Pollard, J.P., Wachspress, E.L. (1991). Correcting Interface Errors Arising from Segmentation in a Parallel Iterative Algorithm. In: Golub, G.H., Van Dooren, P. (eds) Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms. NATO ASI Series, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75536-1_20
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DOI: https://doi.org/10.1007/978-3-642-75536-1_20
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