We give an error analysis of the finite element variable penalty method for Stokes equations. It is shown that the variable penalty method is of higher order than the standard penalty method.

In this paper we introduce a modified penalty function (MPF) method for solving a problem which minimizes a nonlinear programming subject to inequality constraints. Basically, this method is a combination of the modified penalty methods and the Lagrangian methods. It treats inequality constraints with a modified penalty function and avoids the indifferentiability of max {x, 0}. This method alte...

We address the problem of minimizing a quadratic function subject to linear constraints over binary variables. introduce exact solution method called EXPEDIS where constrained is transformed into max-cut instance, and then thewhole machinery available for can be used solve problem. derive theory in order find transformation spirit an penalty method; however, we are only interested exactness set...