Abstract Imposition methods of interface conditions for the second-order wave equation with non-conforming grids is considered. The spatial discretization based on high order finite differences summation-by-parts properties. Previously presented solution this problem, simultaneous approximation term (SAT) method, have shown to introduce significant stiffness. This can lead highly inefficient sc...

In this paper, we study second-order optimality conditions for nonconvex set-constrained optimization problems. For a convex problem, it is well known that involve the support function of tangent set. propose two approaches establishing case. first approach, extend concept so applicable to general problems, whereas in second introduce notion directional regular cone and apply classical results ...