Optimal second order rectangular elasticity elements with weakly symmetric stress

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

  • Mika Juntunen
  • Jeong Lee

Organisaatiot

Kuvaus

We present new second order rectangular mixed finite elements for linear elasticity where the symmetry condition on the stress is imposed weakly with a Lagrange multiplier. The key idea in constructing the new finite elements is enhancing the stress space of the Awanou's rectangular elements (rectangular Arnold-Falk-Winther elements) using bubble functions. The proposed elements have only 18 and 63 degrees of freedom for the stress in two and three dimensions, respectively, and they achieve the optimal second order convergence of errors for all the unknowns. We also present a new simple a priori error analysis and provide numerical results illustrating our analysis.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut425-445
Sivumäärä21
JulkaisuBIT Numerical Mathematics
Vuosikerta54
Numero2
TilaJulkaistu - 2014
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 9431521