Multigrid methods with Powell-Sabin splines

H. Speleers, P. Dierckx, S. Vandewalle
2008 IMA Journal of Numerical Analysis  
We present a multigrid algorithm for the solution of the linear systems that arise from a finite element discretization of second order elliptic partial differential equations with Powell-Sabin splines. We show that the method yields a uniform convergence independent of the mesh size. Abstract We present a multigrid algorithm for the solution of the linear systems that arise from a finite element discretization of second order elliptic partial differential equations with Powell-Sabin splines.
more » ... ll-Sabin splines. We show that the method yields a uniform convergence independent of the mesh size.
doi:10.1093/imanum/drm031 fatcat:q3e6k2cjmjgefg46p7mej4xbhi