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A finite volume method for solving Navier-Stokes problems

Authors:	Lin Mu

Institution:	^a Department of Applied Science, University of Arkansas at Little Rock, Little Rock, AR 72204, United States ^b Department of Mathematics, University of Arkansas at Little Rock, Little Rock, AR 72204, United States

Abstract:	We develop a finite volume method for solving the Navier-Stokes equations on a triangular mesh. We prove that the unique solution of the finite volume method converges to the true solution with optimal order for velocity and for pressure in discrete H¹ norm and L² norm respectively.

Keywords:	primary 65N15 65N30 76D07 secondary 35B45 35J50
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