2025-07-092025-07-092024Romero Ordóñez, A., Velázquez-Mata, R., Tadeu, A. y Galvín, P. (2024). Acoustic Wave Scattering By Null-thickness Bodies With Complex Geometry. WIT Transactions on Engineering Sciences, 136, 135-146. https://doi.org/10.2495/BE470111.1746-44711743-3533https://hdl.handle.net/11441/175175All papers hosted in the WIT Press eLibrary are fully and immediately open access to allow for the widest possible dissemination of published research. Visitors can search, view abstracts and download papers in PDF format without charge or the need to register or log in.This paper proposes a general formulation of the BEM based on the Burton–Miller method to study scattering wave propagation by null-thickness bodies with complex geometry. This approach allows the use of arbitrary high order elements and exact boundary geometry. We use the Bézier–Bernstein form of a polynomial as an approximation basis to represent both geometry and field variables. The solution of the element interpolation problem in the Bézier–Bernstein space defines generalised Lagrange interpolation functions that are used as element shape functions. The proposed procedure consists of a new quadrature rule for the accurate evaluation of integral kernels in the sense of the Cauchy principal and the Hadamard finite part by an exclusively numerical procedure.application/pdf12 p.engHypersingular formulationDual BEMBoundary integral equationHypersingular kernelsSingular kernelsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.2495/BE470111