Mixed methods for elastodynamics with weak symmetry

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

  • Douglas N. Arnold
  • Jeong Lee

Organisaatiot

  • University of Minnesota

Kuvaus

We analyze the application to elastodynamic problems of mixed finite element methods for elasticity with weakly imposed symmetry of stress. Our approach leads to a semidiscrete method which consists of a system of ordinary differential equations without algebraic constraints. Our error analysis, which is based on a new elliptic projection operator, applies to several mixed finite element spaces developed for elastostatics. The error estimates we obtain are robust for nearly incompressible materials.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut2743-2769
Sivumäärä27
JulkaisuSIAM Journal on Numerical Analysis
Vuosikerta52
Numero6
TilaJulkaistu - 2014
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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