A quasi-least-squares (QLS) mixed finite element method (MFE) based on the L2-inner product is utilized to solve an incompressible magnetohydrodynamic (MHD) model. These models are associated with three unknown terms, i.e., fluid velocity, pressure, and magnetic field. For MHD-based models, common theories algorithms for approximation of solutions not always applicable because choice functional...

It often results in sublevel grey full rank square matrix to become non-feasible solution square matrix when there are null-strategy variables and redundancy constraints in the grey matrix solving method of grey matrix game. We can not directly find the optimum grey game solutions in the non-feasible solution square matrix. However, we define concepts of nullstrategy variables and redundancy co...

We investigate a stochastic evolution equation for the motion of a second grade fluid filling a bounded domain of R. Global existence and uniqueness of strong probabilistic solution is established. In contrast to previous results on this model we show that the sequence of Galerkin approximation converges in mean square to the exact strong probabilistic solution of the problem. We also give two ...

A square trisection is a problem of assembling three identical squares from a larger square, using a minimal number of pieces. This paper presents an historical overview of the square trisection problem starting with its origins in the third century. We detail the reasoning behind some of the main known solutions. Finally, we give a new solution and three ruler-and-compass constructions. We con...