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• W2076800346 abstract "The paper presents a reliable and efficient method for solving problems on a large set of domains with different geometries. In applications these geometries might be idealizations of a mechanical structure with multiple damage. The method is designed, and used, to analyse large three-dimensional problems. The present paper formulates the method and presents the theory for a simple model problem, i.e., the Laplace equation in two dimensions. In the numerical implementation of the splitting scheme, the p-version of the finite element method and strongly graded meshes are used. This approach provides high accuracy and error control. The exponential rate of convergence of the method is shown and practically exemplified. A numerical example shows the effects of various choices of parameters on the accuracy of the method. A complex problem related to aircraft safety, which was solved using the present method, is used to exemplify the generality and the efficiency of the proposed method." @default.
• W2076800346 created "2016-06-24" @default.
• W2076800346 creator A5074054198 @default.
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• W2076800346 date "2005-01-01" @default.
• W2076800346 modified "2023-10-16" @default.
• W2076800346 title "The Splitting Method as a Tool for Multiple Damage Analysis" @default.
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• W2076800346 doi "https://doi.org/10.1137/s1064827502417167" @default.
• W2076800346 hasPublicationYear "2005" @default.
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