Mathematical programming with vanishing constraints (MPVC) represents a challenging class of optimisation problems where certain constraints become inactive—or “vanish”—depending on specific ...

The global and local convergence properties of a class of augmented Lagrangian methods for solving nonlinear programming problems are considered. In such methods, simple bound constraints are treated ...

In this paper, we define a new nonconforming quadrilateral finite element based on the nonconforming rotated Q₁ element by enforcing a constraint on each element, which has only three degrees of ...