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- W2340544083 abstract "The paper deals with the use of Non Uniform Rational Basis-Splines (NURBS) for the global representation of domain geometry and unknown functions aimed at the numerical solution of Boundary Integral Equations (BIE). The use of a global NURBS function basis yields a meshless method which does not need the partition of the boundary into elements. The level of the accuracy in the representation of dependent and independent variables can be changed in each simulation, according to the problem requirements, thanks to the recursive definition of NURBS. The solving system of equations is assembled by means of the collocation of the integral equation onto the Greville abscissae in the NURBS parametric space. The unknowns are the locations of the control points in the vector space the unknown function belongs to. Preliminary numerical results have been obtained in potential aerodynamics and acoustic scattering. The numerical solution reveals a remarkable level of accuracy in all the test cases analyzed with a convergence rate always higher than the order of the NURBS adopted." @default.
- W2340544083 created "2016-06-24" @default.
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- W2340544083 date "2015-01-01" @default.
- W2340544083 modified "2023-09-25" @default.
- W2340544083 title "Meshless Numerical Solution of Boundary Integral Equations based on Non Uniform Rational Basis-Splines" @default.
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- W2340544083 doi "https://doi.org/10.20855/ijav.2015.20.3378" @default.
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