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Creators/Authors contains: "Jankuhn, Thomas"

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  1. ; ; ; (, Journal of Numerical Mathematics)
    null (Ed.)
    Abstract The paper studies a higher order unfitted finite element method for the Stokes system posed on a surface in ℝ 3 . The method employs parametric P k - P k −1 finite element pairs on tetrahedral bulk mesh to discretize the Stokes system on embedded surface. Stability and optimal order convergence results are proved. The proofs include a complete quantification of geometric errors stemming from approximate parametric representation of the surface. Numerical experiments include formal convergence studies and an example of the Kelvin--Helmholtz instability problem on the unit sphere. 
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  2. ; ; ; (, SIAM Journal on Numerical Analysis)
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