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Influence matrix diagonal block elements for two-dimensional elastodynamic problems

✍ Scribed by Ernest Heymsfield

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
147 KB
Volume
44
Category
Article
ISSN
0029-5981

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✦ Synopsis

A method is described in this article to calculate the diagonal block elements of the influence matrices used in the boundary element method for two-dimensional elastodynamic problems. Currently, a method that is used in the calculation of diagonal block elements is a combination of rigid-body translation and Gaussian quadrature for the adjoining elements to the singularity point. This paper proposes to show an alternative method for the calculation of diagonal block elements of the traction influence matrix in elastodynamic problems where linear elements are used. In addition, the method is applied for use in the displacement influence matrix. The accuracy of the method is demonstrated in an example problem.

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Application of adaptive basis functions
Application of adaptive basis functions for a diagonal moment-matrix solution of two-dimensional field problems—TE case
✍ Marsellas L. Waller; Sadasiva M. Rao 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract In this work, we present the application of specially constructed adaptive basis functions to generate a diagonal matrix in the method‐of‐moments solution procedure for the calculation of a scattered electromagnetic field from arbitrarily shaped two‐dimensional cylinders excited by a tr