Nonlinear PPH type reconstructions with triangles

  1. Juan Carlos Trillo Moya 1
  1. 1 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Actas:
9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)

Editorial: International Council for Industrial and Applied Mathematics

Año de publicación: 2019

Tipo: Aportación congreso

GOOGLE SCHOLAR

Resumen

We present and prove analytically some interesting properties of the arithmetic and the harmonic mean of three values. Using a kind of second order divided differences, we build a third order interpolation with triangular meshes. Then a nonlinear modification is implemented. Adaption to discontinuities is thus attained and third order of accuracy is maintained in smooth areas.