A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate

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A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate

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Arnold, Douglas N.

Brezzi, Franco

Marini, L. Donatella

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2003-10

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We develop a family of locking-free elements for the Reissner-Mindlin plate using Discontinuous Galerkin techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Arnold, Douglas N.; Brezzi, Franco; Marini, L. Donatella. (2003). A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3948.

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