Resumen de A Cr trivariate macro-element based on the Alfeld split of tetrahedra

Ming-Jun Lai, Michael A. Matt

• We construct trivariate macro-elements of class Cr for any r . 1 over the Alfeld refinement of any tetrahedral partition in R3. In our construction, the degree of polynomials used for these macro-elements is the lowest possible. We also give the dimension formula for the subspace of consisting of these macroelements.