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Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation
Part of
- Partial differential equations, initial value and time-dependent initial-boundary value problems
- Partial differential equations, boundary value problems
Gang Chen, Minfu Feng
Journal:

Advances in Applied Mathematics and Mechanics / Volume 9 / Issue 2 / April 2017

Published online by Cambridge University Press:

09 January 2017, pp. 362-377

Print publication:

April 2017
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This paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

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Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation