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

• Autores: Ming-Jun Lai, Michael A. Matt
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 175, Nº 1, 2013, págs. 114-131
• Idioma: inglés
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• Resumen

  • 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.