9781332201211 - studies in domain decomposition: multilevel methods and the biharmonic dirichlet problem (classic reprint) von zhang, xuejun (3 Ergebnisse)
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Paperback. Zustand: New. Print on Demand. This book explores multilevel methods for solving large-scale second-order elliptic problems. The author considers a class of multilevel methods in the additive Schwarz framework and establishes that under a regularity assumption, the condition number of the iterative operator grows at m…ost linearly with the number of levels. The author extends this idea to the biharmonic Dirichlet problem, and constructs additive Schwarz algorithms for the biharmonic problem using various conforming finite element discretizations. The author establishes optimality and almost optimal convergence properties for the algorithms. The book is a valuable resource for researchers and graduate students in numerical analysis and scientific computing, especially those interested in domain decomposition methods for solving large-scale partial differential equations. 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.
