Simple Iterative Linear Solver for the 3D Incompressible Navier-Stokes EquationsDiscretized by the Finite Element Method

摘要

In this paper, we consider the solution of the systems of non-linear equationsarising from the discretizaton of the incompressible Navier-Stokes equations. The resulting systems of linear equations suffer from the occurrence of zero elements on the main diagonal. In this paper, we describe some ordering techniques which allow us to renumber these equations a-priori such that direct solvers may be used without pivoting.