In the context of phase-field modeling fractures in incompressible materials, a mixed form elasticity equation can overcome possible volume locking effects. The drawback is that coupled variational inequality system with three unknowns (displacements, pressure and phase-field) has to be solved, which increases overall workload. Efficient preconditioning at this point an indispensable tool. work...

The paper is devoted to the study of positive solutions a second-order linear elliptic equation in divergence form domain [Formula: see text] that satisfy an oblique boundary condition on portion text]. First, we weak for degenerate mixed value problem where bounded Lipschitz domain, relatively open text], and (Robin) operator defined sense. In particular, discuss unique solvability above probl...