A pseudospectral finite-element method for solving two-dimensional vorticity equations. (English) Zbl 0723.76058

Guo, Ben-Yu; Ma, He-Ping

SIAM J. Numer. Anal. 28, No. 1, 113-132 (1991).

The authors develop a Fourier pseudospectral finite element method with a control operator based on the Bochner summation method for solving two- dimensional vorticity equations. Some approximation results are given in Sobolev spaces. It is also indicated that the methods developed can be as well applied to PFM’s of other linear and nonlinear problems.

Reviewer: P.K.Mahanti (Ranchi)

MSC:

76M10	Finite element methods applied to problems in fluid mechanics
76B47	Vortex flows for incompressible inviscid fluids

Keywords:

Fourier pseudospectral finite element method; control operator; Bochner summation method; two-dimensional vorticity equations; Sobolev spaces