We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This combines nonlinear penalty formulation with discontinuous Galerkin-based residual minimization method. illustrate efficiency this scheme for both uniform and adaptive meshes through proper numerical examples.

In the analysis and calculation of degree freedom (DOF) mechanisms, it is generally a complicated problem to judge virtual constraint correctly. Under what conditions do constraints exist, how many are there? Understanding these problems can contribute effectively tackling difficulty calculating DOF. With planar mechanisms as research object, among various components simplified into point const...

One of the problems that sometimes occur in gas allocation optimization is instability phenomenon. This phenomenon reduces the oil production and damages downhole and surface facilities. Different works have studied the stability and suggested some solutions to override it, but most of them (such as making the well intelligent) are very expensive and thus they are not applicable to many cases. ...