The local discontinuous Galerkin method and component design integration for 3D elasticity

S. Siddharth, J. Carrero, Bernardo Cockburn, Kumar K Tamma, R. Kanapady

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

In this paper, the focus is on the developments towards a local discontinuous Galerkin (LDG) method for 3D elasticity and its application to contemporary practical engineering design. On the theoretical front, the definition of the numerical flux that guarantees stability of the method, based on the energy identity of elasticity, is presented. Among the practical advantages of the LDG method is its ability to handle non-congruent meshes which is a very useful feature for designing complex structures. We demostrate this advantage via results of the analysis of an armored vehicle's barrel-breech system. Optimal convergence rates of the method are shown via numerical experiments using a P1 approximation, for congruent as well as non-congruent meshes.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages492-494
Number of pages3
StatePublished - Dec 1 2005
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Publication series

Name3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period6/14/056/17/05

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Keywords

  • 3D elasticity
  • Local discontinuous galerkin method
  • Non-congruent meshes

Cite this

Siddharth, S., Carrero, J., Cockburn, B., Tamma, K. K., & Kanapady, R. (2005). The local discontinuous Galerkin method and component design integration for 3D elasticity. In 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics (pp. 492-494). (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).