A finite volume method for solving Navier-Stokes problems |
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| Authors: | Lin Mu |
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| Affiliation: | a Department of Applied Science, University of Arkansas at Little Rock, Little Rock, AR 72204, United Statesb Department of Mathematics, University of Arkansas at Little Rock, Little Rock, AR 72204, United States |
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| 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. |
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| Keywords: | primary, 65N15, 65N30, 76D07 secondary, 35B45, 35J50 |
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