Discontinuous Galerkin Methods for Solids and Structures

Nonlinear mechanical analysis of aerospace shell structures through the discontinuous Galerkin method

“…The choice of µ is crucial for the method to be efficient as discussed in Refs. [7,10] Applying the variational calculus procedures, the final nonlinear algebraic system is inferred, which is solved via a Newton-Raphson arc-length scheme. It is remarked that the use of a pure penalty formulation enables to compute the elements interface boundary integrals only once with the consequent computational time savings during the iterative solution scheme.…”

“…Recently, the discontinuous Galerkin (dG) method emerged as a viable alternative showing interesting advantages in the use of nonstandard element and shape functions, in the application of non conformal meshes as well as high-order elements, in the implementation of meshing strategies such as hierarchical refinement and adaptativity and in scalable implementations [6,7]. These features can underlie a robust treatment of complex problems as those involved in the analysis of multilayered shells [8,9].…”