2008
DOI: 10.1016/j.cma.2008.01.018
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A new discontinuous Galerkin method for Kirchhoff–Love shells

Abstract: Discontinuous Galerkin methods (DG) have particular appeal in problems involving high order derivatives since they provide a means of weakly enforcing the continuity of the unknown-field derivatives. This paper proposes a new discontinuous Galerkin method for Kirchhoff-Love shells considering only the membrane and bending response. The proposed one-field method utilizes the weak enforcement in such a way that the displacements are the only unknowns, while the rotation continuity is weakly enforced. This work p… Show more

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Cited by 55 publications
(89 citation statements)
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“…The discontinuous Galerkin method was proposed in the seventies of the previous century in [42] and constant development of the method has been observed since the time, see [9,13,19,34,44] and its application to many problems, such as analysing plates and shell [17,36], elastic wave propagation [6,7] or fluid floats [3,32]. The present paper constitutes another step towards developing the DG method, with particular attention to the DGFD method.…”
Section: Introductionmentioning
confidence: 95%
“…The discontinuous Galerkin method was proposed in the seventies of the previous century in [42] and constant development of the method has been observed since the time, see [9,13,19,34,44] and its application to many problems, such as analysing plates and shell [17,36], elastic wave propagation [6,7] or fluid floats [3,32]. The present paper constitutes another step towards developing the DG method, with particular attention to the DGFD method.…”
Section: Introductionmentioning
confidence: 95%
“…Γ I = Γ IU , can be derived by following exactly the path set for other elliptic problems [52,59]. However although the second set of equations (66) is linear, the first set of equations (65) is not and the properties rigorously hold in the linearized form only.…”
Section: Numerical Propertiesmentioning
confidence: 99%
“…This can be overcome by discretizing the director field or introducing rotational degrees of freedom [29,30,31], or by considering more elaborate variational formulations such as in discontinuous Galerkin methods [32,33]. Instead, here we focus on methods relying on smooth basis functions.…”
Section: Introductionmentioning
confidence: 99%