Abstract
We present a new stabilized finite volume method for Stokes problem using the lowest order P 1 − P 0 element pair. To offset the lack of the inf -sup condition, a simple jump term of discrete pressure is added to the continuity approximation equation. A discrete inf -sup condition is established for this stabilized scheme. The optimal error estimates are given in the H 1- and L 2-norms for velocity and in the L 2-norm for pressure, respectively.
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Communicated by: Charlie Elliott
This work was supported by the National Natural Science Funds of China, No. 11371081; and the State Key Laboratory of SAPI Fundamental Research Funds, No. 2013ZCX02.
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Zhang, T., Tang, L. A stabilized finite volume method for Stokes equations using the lowest order P 1 − P 0 element pair. Adv Comput Math 41, 781–798 (2015). https://doi.org/10.1007/s10444-014-9385-9
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DOI: https://doi.org/10.1007/s10444-014-9385-9