NDLI: A New Family of Mixed Methods for the Reissner-Mindlin Plate Model Based on a System of First-Order Equations

Content Provider	Springer Nature Link
Author	Behrens, Edwin M. Guzmán, J.
Copyright Year	2010
Abstract	The mixed method for the biharmonic problem introduced in (Behrens and Guzmán, SIAM J. Numer. Anal., 2010) is extended to the Reissner-Mindlin plate model. The Reissner-Mindlin problem is written as a system of first order equations and all the resulting variables are approximated. However, the hybrid form of the method allows one to eliminate all the variables and have a final system only involving the Lagrange multipliers that approximate the transverse displacement and rotation at the edges of the triangulation. Mixed finite element spaces for elasticity with weakly imposed symmetry are used to approximate the bending moment matrix. Optimal estimates independent of the plate thickness are proved for the transverse displacement, rotations and bending moments. A post-processing technique is provided for the displacement and rotations variables and we show numerically that they converge faster than the original approximations.
Starting Page	137
Ending Page	166
Page Count	30
File Format	PDF
ISSN	08857474
Journal	Journal of Scientific Computing
Volume Number	49
Issue Number	2
e-ISSN	15737691
Language	English
Publisher	Springer US
Publisher Date	2010-12-29
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite element Reissner-Mindlin Biharmonic Mixed method Hybrid method Computational Mathematics and Numerical Analysis Algorithms Theoretical, Mathematical and Computational Physics ApplicationMathematics/Computational Methods of Engineering
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Engineering Computational Theory and Mathematics Computational Mathematics Numerical Analysis Software

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