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A p 2-continuous, p 1-discontinuous finite element method for the Mindlin-Reissner plate model

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • P. Hansbo

    (Chalmers University of Technology, Department of Applied Mechanics)

  • M. G. Larson

    (Chalmers University of Technology, Department of Mathematics)

Abstract

Summary We present a discontinuous finite element method for the Mindlin-Reissner plate model based on continuous piecewise second degree polynomials for the transverse displacements and discontinuous piecewise linear approximations for the rotations. We prove convergence, uniformly in the thickness of the plate, and thus show that locking is avoided. Lastly, we present numerical results.

Suggested Citation

  • P. Hansbo & M. G. Larson, 2003. "A p 2-continuous, p 1-discontinuous finite element method for the Mindlin-Reissner plate model," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 765-774, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_69
    DOI: 10.1007/978-88-470-2089-4_69
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