We present a geometric Melnikov method to analyze two-dimensional stable or unstable manifold associated with saddle point in three-dimensional nonvolume preserving autonomous flows. The time-varying perturbed location of such is obtained under very general, and arbitrary time-dependence, perturbations. demonstrate the explicit computability leading-order spatio-temporal using our formulas. In ...

We propose a Uzawa block relaxation domain decomposition method for a two-body contact problem with Tresca friction. We introduce auxiliary interface unknowns to transform the variational problem into a saddle-point problem. Applying a Uzawa block relaxation algorithm to the corresponding augmented Lagrangian functional we obtain a domain decomposition algorithm in which we have to solve two un...