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Neumann's method for boundary problems of thin elastic shells 被引量:1

Neumann's method for boundary problems of thin elastic shells
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摘要 The possibility of using Neumann's method to solve the boundary problems for thin elastic shells is studied. The variational statement of the static problems for the shells allows for a problem examination within the distribution space. The convergence of Neumann's method is proven for the shells with holes when the boundary of the domain is not completely fixed. The numerical implementation of Neumann's method normally requires significant time before any reliable results can be achieved. This paper suggests a way to improve the convergence of the process, and allows for parallel computing and evaluation during the calculations. The possibility of using Neumann's method to solve the boundary problems for thin elastic shells is studied. The variational statement of the static problems for the shells allows for a problem examination within the distribution space. The convergence of Neumann's method is proven for the shells with holes when the boundary of the domain is not completely fixed. The numerical implementation of Neumann's method normally requires significant time before any reliable results can be achieved. This paper suggests a way to improve the convergence of the process, and allows for parallel computing and evaluation during the calculations.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第4期543-556,共14页 应用数学和力学(英文版)
关键词 boundary problem thin elastic shell theory Neumann's method variational principle Korn's inequality distribution embedding theorem Green tensor boundary problem, thin elastic shell theory, Neumann's method, variational principle, Korn's inequality, distribution, embedding theorem, Green tensor
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