摘要

A hybrid computational framework consisting of Eulerian boundary zone concept augmented to Lagrangian finite element formulations with moving meshes is proposed for effectively handling the steady-state problems. This is in conjunction with a novel L-stable time discretized framework that is necessary in conjunction with the hybrid formulations to enable computationally attractive features for practical problems. The L-stable algorithm is developed and implemented and is of second order accuracy and modified for nonlinear dynamic systems with frictional contact boundaries. No nonlinear iterations are necessary for the nonlinear dynamic system of equations, and one only needs to update the artificial damping matrix once at every time step for non-linear dynamic problems. The proposed method is suitable for steady state problems with complex contact boundary conditions.

  • 出版日期2012

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