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The PSMG Multiscale Method for an Anisotropic Problem
COLORADO UNIV AT BOULDER DEPT OF COMPUTER SCIENCE
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The PSMG method provides an efficient solution method for elliptic PDE in the theoretically interesting limit where the number of processors approaches the number of discretization grid points. In this paper we show that the main features of PSMG may be extended from the Poisson equation on a square grid to anisotropic equations of similar type. Convergence rates of .12 or less per single-relaxation iteration are achieved for anisotropy coefficients ranging from 1 to over 10exp 5.
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