Extraction method for Stokes Flow with jumps in the pressure

Details Extraction method for Stokes Flow with jumps in the pressure Extraction method for Stokes Flow with jumps in the pressure

2009-11-25

arxiv.org/abs/0911.4769v1

Mathematics

Numerical Analysis

Scientific paper

In this paper, we consider a stationary, constant viscosity, incompressible Stokes flow with singular forces along one or several interfaces. Assuming only the jumps of the pressure are present along the interface, we develop a new numerical scheme for such a problem. By constructing an approximate singular function and removing it, we can apply a standard finite element method to solve it. A main advantage of our scheme is that one can use a uniform grid. We observe optimal $O(h)$ order for the pressure and $O(h^2)$ order for the velocity.

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