A study of discontinuous Galerkin methods for thin bending problems
Change log
Authors
Dung, NT
Wells, GN
Abstract
Various continuous/discontinuous Galerkin formulations are examined for the analysis of thin plates. These methods rely on weak imposition of continuity of the normal slope across element boundaries. We draw here upon developments in discontinuous Galerkin methods for second-order elliptic equations, for which several unconditionally stable methods are known, and present continuous/discontinuous Galerkin formulations for bending problems inspired by these methods. For each approach, benchmark simulations have been performed and compared. Also, conclusions are drawn on to the computational ef ciency of the different methods.
Description
Keywords
plates, thin bending, discontinuous Galerkin method, stability condition
Journal Title
Computational Mechanics: Solids Structures and Coupled Problems
Conference Name
3rd European Conference on Computational Mechanics (ECCM)
Journal ISSN
Volume Title
6
Publisher
Springer