A numerical verification for an unconditionally stable FEM for elastodynamics

S. T. Miller, F. Costanzo

Research output: Contribution to journalArticle

Abstract

Numerical results for a time-discontinuous Galerkin space-time finite element formulation for second-order hyperbolic partial differential equations are presented. Discontinuities are allowed at finite, but not fixed, time increments. A method for h-adaptive refinement of the space-time mesh is proposed and demonstrated. Numerical results are presented for linear elastic problems in one space dimension. Numerical verification of unconditional stability, as proven in [7], is rendered. Comparison is made with analytic solutions when available. It is shown that the accuracy of the numerical solution can be increased without a major penalty on computational cost by using an adaptively refined mesh. Results are presented for a type of solid-solid dynamic phase transition problem where the trajectory of a moving surface of discontinuity is tracked.

Original languageEnglish (US)
Pages (from-to)223-237
Number of pages15
JournalComputational Mechanics
Volume43
Issue number2
DOIs
StatePublished - Jan 2009

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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