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 language | English (US) |
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Pages (from-to) | 223-237 |
Number of pages | 15 |
Journal | Computational Mechanics |
Volume | 43 |
Issue number | 2 |
DOIs | |
State | Published - Jan 2009 |
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics