On the Shwarz alternating method in problems of elastic stability

✍ Scribed by A. Azarkhin

• Publisher: Springer Netherlands
• Year: 1985
• Tongue: English
• Weight: 401 KB
• Volume: 15
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041422

✦ Synopsis

Suppose that a given complicated domain is constructed from two or more partially overlapping subdomains, for which solutions are available. The convergence in energy of the iterative method that reduces the given problem to a sequence of problems for simple subdomains is proved. Properties of Sobolev's spaces are employed, namely the theorem on equivalent norms and compactness of a bounded set.

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