Published October 17, 2022
| Version v1
Publication
Quadrature rule for singular integrals in common engineering problems
Description
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.
Abstract
BEM/MRM 45, 45th International Conference on Boundary Elements and other Mesh Reduction Methods, Tallin-Estonia, 24–26 May 2022, OnlineAdditional details
Identifiers
- URL
- https://idus.us.es/handle//11441/137951
- URN
- urn:oai:idus.us.es:11441/137951