Excerpt from An Additive Schwarz Method for the P-Version Finite Element Method
For simplicity, we will analyze square and brick-shaped elements, but, using affine mappings onto the reference square and cube, our analysis works also for general quadrilateral elements.
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Excerpt from An Additive Schwarz Method for the P-Version Finite Element Method
The following is the main result of this paper. The proof is first given for two dimensions and then extended to three in Section 4.
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Paperback. Zustand: New. Print on Demand. This book explores a new method for solving large systems of linear equations in three dimensions by leveraging the finite element method. Said method, called the Schwarz method, focuses on increasing the accuracy of finding a solution by dividing the coefficient matrix of the system into submatrices, which it then solves iteratively. The book positions the Schwarz method within the broader context of numerical analysis, while presenting novel ways to extend its use to more complex situations. The work details a theoretical analysis of the method's convergence properties and finishes with encouraging numerical studies. This book is a valuable resource for students and professionals seeking an adept understanding of the Schwarz method and its assorted 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 9781334017568_0
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