An h-adaptive spacetime-discontinuous Galerkin method for linear elastodynamics

Reza Abedi, Robert B. Haber, Shripad Thite, Jeff Erickson

Research output: Contribution to journalArticlepeer-review


We present an h-adaptive version of the spacetime-discontinuous Galerkin (SDG) finite element method for linearized elastodynamics (Abedi et al., 2006). The adaptive version inherits key properties of the basic SDG formulation, including element-wise balance of linear and angular momentum, complexity that is linear in the number of elements and oscillationfree shock capturing. Unstructured spacetime grids allow simultaneous adaptation in space and time. A localized patch-by-patch solution process limits the cost of reanalysis when the error indicator calls for more refinement. Numerical examples demonstrate the method's performance and shock-capturing capabilities.

Original languageEnglish (US)
Pages (from-to)619-642
Number of pages24
JournalEuropean Journal of Computational Mechanics
Issue number6
StatePublished - 2006


  • Adaptive analysis
  • Discontinuous Galerkin
  • Elastodynamics
  • Shocks
  • Spacetime

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering


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