Construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si23.svg"><mml:msup><mml:mi>G</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> planar Hermite interpolants with prescribed arc lengths

In this paper the numerical solution of potential problems defined on 3D unbounded domains is addressed with Boundary Element Methods (BEMs), since in way problem studied only boundary, and thus any finite approximation infinite domain can be avoided. The isogeometric analysis (IGA) setting considered particular B-splines NURBS functions are taken into account. order to exploit all possible benefits from using spline spaces, an important point development specific cubature formulas for weakly nearly singular integrals. Our proposal aim based quasi-interpolation use a product formula. Besides that, robust singularity extraction procedure introduced as preliminary step efficient function-by-function assembly phase adopted. A selection examples confirms that solutions reach expected convergence orders.