In this paper we propose a modified version of the classical collocation method and two spline collocation methods with high order of convergence, for the solution of integral equations on surfaces of R^3. Such methods are based on optimal superconvergent quasi-interpolants defined on type-2 triangulations and based on the Zwart-Powell quadratic box spline.
Numerical solution of surface integral equations based on spline quasi-interpolation
DAGNINO, Catterina;REMOGNA, Sara
2017-01-01
Abstract
In this paper we propose a modified version of the classical collocation method and two spline collocation methods with high order of convergence, for the solution of integral equations on surfaces of R^3. Such methods are based on optimal superconvergent quasi-interpolants defined on type-2 triangulations and based on the Zwart-Powell quadratic box spline.
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