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Creators/Authors contains: "Wan, Hongzhi"

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  1. ; (, ESAIM: Mathematical Modelling and Numerical Analysis)
    We propose aC0interior penalty method for the fourth-order stream function formulation of the surface Stokes problem. The scheme utilizes continuous, piecewise polynomial spaces defined on an approximate surface. We show that the resulting discretization is positive definite and derive error estimates in various norms in terms of the polynomial degree of the finite element space as well as the polynomial degree to define the geometry approximation. A notable feature of the scheme is that it does not explicitly depend on the Gauss curvature of the surface. This is achievedviaa novel integration-by-parts formula for the surface biharmonic operator. 
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    Free, publicly-accessible full text available March 1, 2026