3、As the non-degeneracy condition holds and the smoothing parameter tends to zero, an S-stationary point of the MPCC problem is equivalent to a KKT point of the smoothing nonlinear programming.
4、For the defect that it is hard to determine the smoothing parameter in time-varying conditions, the adaptive optimizing strategy based on contributing ratio is proposed.
2、The desingularization smoothing parameter is introduced in calculating the induced velocity on trailing vortex surface.
1、The choice of smoothing parameter can be automatically obtained by using generalized cross-validation function.