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Structural Engineering and Mechanics Volume 23, Number 3, June20 2006 , pages 263-278 DOI: https://doi.org/10.12989/sem.2006.23.3.263 |
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Solution of the two-dimensional scalar wave equation by the time-domain boundary element method: Lagrange truncation strategy in time integration |
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J. A. M. Carrer and W. J. Mansur
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| Abstract | ||
| This work presents a time-truncation scheme, based on the Lagrange interpolation polynomial, for the solution of the two-dimensional scalar wave problem by the time-domain boundary element method. The aim is to reduce the number of stored matrices, due to the convolution integral performed from the initial time to the current time, and to keep a compromise between computational economy and efficiency and the numerical accuracy. In order to verify the accuracy of the proposed formulation, three examples are presented and discussed at the end of the article. | ||
| Key Words | ||
| truncation strategy; boundary element method; scalar wave equation; TD-BEM. | ||
| Address | ||
| J. A. M. Carrer; Programa de Pos-Graduacao em Metodos Numericos em Engenharia, Universidade Federal do Parana, Caixa Postal 19011, CEP 81531-990, Curitiba, PR, Brasil W. J. Mansur; Programa de Engenharia Civil,COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Caixa Postal 68506, CEP 21945-970, Rio de Janeiro, Brasil | ||