Browsing by Author "Marini, L. Donatella"
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Item A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate(2003-10) Arnold, Douglas N.; Brezzi, Franco; Marini, L. DonatellaWe 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.Item Locking-free Reissner-Mindlin elements without reduced integration(2005-12) Arnold, Douglas N.; Brezzi, Franco; Falk, Richard S.; Marini, L. DonatellaItem Unified analysis of discontinuous Galerkin methods for elliptic problems(2001-02) Arnold, Douglas N.; Brezzi, Franco; Cockburn, Bernardo; Marini, L. DonatellaWe provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed for the numerical treatment of elliptic problems by diverse communities over three decades.