A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form

Mu, Lin; Wang, Junping; Ye, Xiu

doi:10.1007/s10915-017-0564-y

Title: A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form

Journal Article · Wed Oct 04 00:00:00 EDT 2017 · Journal of Scientific Computing

DOI:https://doi.org/10.1007/s10915-017-0564-y· OSTI ID:1407722

^[1]; Wang, Junping ^[2]; Ye, Xiu ^[3]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computer Science and Mathematics Division
National Science Foundation, Arlington, VA (United States). Division of Mathematical Sciences
Univ. of Arkansas, Little Rock, AR (United States). Dept. of Mathematics

We developed a new finite element method for the Reissner–Mindlin equations in its primary form by using the weak Galerkin approach. Like other weak Galerkin finite element methods, this one is highly flexible and robust by allowing the use of discontinuous approximating functions on arbitrary shape of polygons and, at the same time, is parameter independent on its stability and convergence. Furthermore, error estimates of optimal order in mesh size h are established for the corresponding weak Galerkin approximations. Numerical experiments are conducted for verifying the convergence theory, as well as suggesting some superconvergence and a uniform convergence of the method with respect to the plate thickness.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1407722

Journal Information:: Journal of Scientific Computing, Vol. 75, Issue 2; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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References (19)

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