Ponencia
Quadrature rule for singular integrals in common engineering problems
Autor/es | Velázquez-Mata, Rocío
Romero Ordóñez, Antonio Galvín, Pedro |
Departamento | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Fecha de publicación | 2022 |
Fecha de depósito | 2022-10-17 |
Publicado en |
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ISBN/ISSN | 978-178466459-6 1743-3533 |
Resumen | This paper describes a general method to compute the boundary integral equation for common
engineering problems. The proposed procedure consists of a new quadrature rule to evaluate singular
and weakly singular integrals. ... This paper describes a general method to compute the boundary integral equation for common engineering problems. The proposed procedure consists of a new quadrature rule to evaluate singular and weakly singular integrals. The methodology is based on the computation of the quadrature weights by solving an undetermined system of equations in the minimum norm sense. The Bezier–Bernstein ´ form of a polynomial is also implemented as an approximation basis to represent both geometry and field variables. Therefore, exact boundary geometry is considered, and arbitrary high-order elements are allowed. This procedure can be used for any element node distribution and shape function. The validity of the method is demonstrated by solving a two-and-a-half-dimensional elastodynamic benchmark problem. |
Cita | Velázquez-Mata, R., Romero, A. y Galvín, P. (2022). Quadrature rule for singular integrals in common engineering problems. En 45th International Conference on Boundary Elements and other Mesh Reduction Methods, BEM/MRM 2022. WIT Transactions on Engineering Sciences, 134 (57-65), Virtual, online: WIT Press. |
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