Triangular finite elements of HCT type and class C rho

  title={Triangular finite elements of HCT type and class C rho},
  author={M. Laghchim-Lahlou and Paul Sablonni{\`e}re},
  journal={Adv. Comput. Math.},
Let r be some triangulation of a planar polygonal domain ~. Given a smooth function u, we construct piecewise polynomial functions v r CP(f~) of degree n = 3p for p odd, and n = 3p + 1 for p even on a subtriangulation r of r The latter is obtained by subdividing each T ~ x into three triangles, and vlT is a composite triangular finite element, generalizing the classical C 1 cubic Hsieh-Clough-Tocher (HCT) triangular scheme. The function v interpolates the derivatives of u up to order p at the… CONTINUE READING