Excerpt from Some Schwarz Methods for Symmetric and Nonsymmetric Elliptic Problems, Vol. 255
To avoid unnecessary complications, we first confine our discussion to this operator, to homogeneous Dirichlet conditions and to continuous, piecewise linear finite elements.
In the classical formulation of Schwarz's alternating method, two overlapping subregions, and Q; are used; the union of the two is Q. There are two sequential, fractional steps in which the approximate solution of the elliptic equation on Q is updated by solving the problem restricted to one of the subregions, one at a time. The most recent values of the solution are used as boundary values on the part of 392, the boundary of 92, which is not a part of 39.
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Paperback. Zustand: New. Print on Demand. This book delves into the theoretical underpinnings of a class of iterative methods called Schwarz methods, which are specifically designed for solving elliptic partial differential equations. These equations arise in countless scientific and engineering applications, where finding efficient and accurate solutions is of paramount importance. The author provides a thorough examination of these methods, exploring both their strengths and limitations. Throughout the book, the author skillfully employs accessible language, making the material approachable even to those without a background in advanced mathematics. This book is a valuable resource for students, researchers, and practitioners alike, offering a comprehensive understanding of Schwarz methods and their significance in solving complex problems. Its insights will undoubtedly enhance the reader's ability to design and implement effective numerical algorithms for a wide range of scientific and engineering applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332197859_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332197859
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332197859
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