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Register a new userA locally calculable $P^3$-pressure using a $P^4$-velocity for incompressible Stokes equations
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Added by
Chunjae Park
Publication date
2021
fields
Informatics Engineering
and research's language is
English
Authors
Chunjae Park
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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 incompressible Stokes equations at low cost. The method solves first the decoupled equation for a $P^4$-velocity. Then, using the calculated velocity, a locally calculable $P^3$-pressure will be defined component-wisely. The resulting $P^3$-pressure is analyzed to have the optimal order of convergence. Since the pressure is calculated by local computation only, the chief time cost of the new method is on solving the decoupled equation for the $P^4$-velocity. Besides, the method overcomes the problem of singular vertices or corners.
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