A nonconformal finite element method for the Stokes problem (Q759471)

The article investigates efficient iterative methods for solving systems of equations of the nonconformal finite element (projective net) method for problems of the type represented by the stationary Stokes problem, in which piecewise-linear and piecewise-constant functions on triangles of special triangulations of plane domains are employed. To achieve an accuracy \(h^{\gamma}(\gamma >0)\) these methods require \(O(h^{-2}| \ln h|)\) arithmetic operations for domains made up of rectangles, and \(O(h^{-2}\ln^ 2h)\) operations in the general case.