Analysis and Computing Of Solutions to an evolution Problem in Nonlinear Viscoelasticity,
CINCINNATI UNIV OH DEPT OF MATHEMATICAL SCIENCES
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Problems involving nonconvex energies where the equilibrium configuration may involve several phases have received alot of attention in recent years. We begin studying an evolution problem modeling the deformations of a simple viscoelastic material and a nonconvex energy. We show that the approximate solution given by a standard finite element method will converge at an optimal rate to the true solution. Through numerical computations we start to explore the long time behavior.
- Fluid Mechanics