NONCONFORMAL FINITE-ELEMENT METHOD FOR THE STOKES PROBLEM.

This article investigates efficiency iterative methods for solving sytems 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 greater than 0) these methods require O(h**2 vertical ln h vertical ) arithmetic operations for domains made up of rectangles, and O(h** minus **2ln**2h) operations in the general case.