Nonconforming Finite Element Approximation For The Brinkman Problem

Nonconforming finite element approximation of Brinkman problem is solved by using triangular and rectangular Rariart-Thomas element.First,the Brinkman problem together with discrete and weak form of approximation is given.Second,we proved the problem satisfying the discrete BB condition with the help of Fortin criterion and Piola transform of vector function,then,based on the basic principle of mixture nonconforming method,the unique of Brinkman problem’s solution is proved. At last,the error precision is obtained with the help of interpolation theory.