A NEW INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR THE REISSNER–MINDLIN MODEL-Reference-Cited by-同舟云学术

A NEW INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR THE REISSNER–MINDLIN MODEL

Published:2010-08 Issue:08 Volume:20 Page:1343-1361
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BÖSING PAULO R.¹,MADUREIRA ALEXANDRE L.²,MOZOLEVSKI IGOR¹

Affiliation:

1. Mathematics Department, Federal University of Santa Catarina, Trindade, Florianópolis, Santa Catarina 88040-900, Brazil

2. Laboratório Nacional de Computação Científica, Av. Getúlio Vargas 333, Petrópolis, RJ, Brazil

Abstract

We introduce an interior penalty discontinuous Galerkin finite element method for the Reissner–Mindlin plate model that, as the plate's half-thickness ϵ tends to zero, recovers a hp interior penalty discontinuous Galerkin finite element methods for biharmonic equation. Our method does not introduce shear as an extra unknown, and does not need reduced integration techniques. We develop the a priori error analysis of these methods and prove error bounds that are optimal in h and uniform in ϵ. Numerical tests, that confirm our predictions, are provided.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202510004623

Reference34 articles.

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3. Discontinuous Galerkin Methods for Elliptic Problems

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