Substructuring Methods for Parabolic Problems (Classic Reprint)

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Excerpt from Substructuring Methods for Parabolic ProblemsTwo kinds of substructuring methods, i.e. Domain decomposition methods which do not use overlapping subregions, are constructed and analyzed. In the first method systems of algebraic equations resulting from the approximation on each time level are solved iteratively by a conjugate gradient method with a neumann-dirichlet preconditioner. As in the elliptic case, it is shown that the rate of convergence is almost optimal with respect to h, the parameter of triangulation, and that it is independent of the time step 7, see Section 2.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.