Numerical integration based on trivariate C 2 quartic spline quasi-interpolants
In this paper we consider the space generated by the scaled translates of the trivariate C 2 quartic box spline B defined by a set X of seven directions, that forms a regular partition of the space into tetrahedra. Then, we construct new cubature rules for 3D integrals, based on spline quasi-interpolants expressed as linear combinations of scaled translates of B and local linear functionals.
3d cubature trivariate box spline quasi-interpolation operator spline approximation 65d07 65d32 41a15