B. Fang et al., AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD FOR VISCOPLASTIC ANALYSIS, Computer methods in applied mechanics and engineering, 150(1-4), 1997, pp. 191-198
This paper describes an h-adaptive, space-time discontinuous Galerkin
finite element method for quasi-static viscoplastic response in a time
-varying domain. The equations of equilibrium and the evolution equati
ons in the viscoplastic material model comprise an elliptic/hyperbolic
system. We focus here on two aspects of the model: stabilization of t
he hyperbolic subproblem and residual-based error estimates and adapti
ve algorithms for viscoplastic analysis.