Successive finite element methods for Stokes equations
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This paper will suggest a new finite element method to find a P^4-velocity and a P^3-pressure solving Stokes equations. The method solves first the decoupled equation for the P^4-velocity. Then, four kinds of local P^3-pressures and one P^0-pressure will be calculated in a successive way. If we superpose them, the resulting P^3-pressure shows the optimal order of convergence same as a P^3-projection. The chief time cost of the new method is on solving two linear systems for the P^4-velocity and P^0-pressure, respectively.
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