Computational Approximation with discontinous Galerkin methods and compaRison with Experiments

Computational Approximation with discontinous Galerkin methods and compaRison with Experiments

eXtended Hybridizable Discontinous Galerkin (X-HDG) for Void Problems

A strategy for the Hybridizable Discontinous Galerkin (HDG) solution of problems with voids, inclusions or free surfaces is proposed. It is based on an eXtended Finite Element philosophy with a level-set description of interfaces. Thus, the computational mesh is not required to fit the interface (i.e. the boundary), simplifying and reducing the cost of mesh generation and, in particular, avoidi...

A Comparative Study of Least-Squares and the Weak-Form Galerkin Finite Element Models for the Nonlinear Analysis of Timoshenko Beams

In this paper, a comparison of weak-form Galerkin and least-squares finite element models of Timoshenko beam theory with the von Kármán strains is presented. Computational characteristics of the two models and the influence of the polynomial orders used on the relative accuracies of the two models are discussed. The degree of approximation functions used varied from linear to the 5th order. In ...

Simulation of Compressible Flow in Time Dependent Domains

Abstract. This work is concerned with the simulation of compressible flow in time dependent domains. We present an ALE (Arbitrary Lagrangian-Eulerian) formulation of the Navier-Stokes equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution of the complete problem. We pr...

Three dimensional static and dynamic analysis of thick plates by the meshless local Petrov-Galerkin (MLPG) method under different loading conditions

In this paper, three dimensional (3D) static and dynamic analysis of thick plates based on the Meshless Local Petrov-Galerkin (MLPG) is presented. Using the kinematics of a three-dimensional continuum, the local weak form of the equilibrium equations is derived. A weak formulation for the set of governing equations is transformed into local integral equations on local sub-domains by using a uni...