Mixed Methods for Elastodynamics with Weak Symmetry

نویسندگان

  • Douglas N. Arnold
  • Jeonghun J. Lee
چکیده

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.

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منابع مشابه

Publications of Douglas N. Arnold

• Mixed methods for elastodynamics with weak symmetry. • Mixed finite elements for elasticity on quadrilateral meshes. • Finite element differential forms on curvilinear cubic meshes and their approximation properties. Numer. • Nonconforming tetrahedral mixed finite elements for elasticity. • Mixed finite element approximation of the vector Laplacian with Dirichlet boundary conditions. Math. • ...

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2014