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• W3100684080 abstract "The paper introduces a finite element method for the incompressible Navier–Stokes equations posed on a closed surface $$Gamma subset mathbb {R}^3$$ . The method needs a shape regular tetrahedra mesh in $$mathbb {R}^3$$ to discretize equations on the surface, which can cut through this mesh in a fairly arbitrary way. Stability and error analysis of the fully discrete (in space and in time) scheme is given. The tangentiality condition for the velocity field on $$Gamma $$ is enforced weakly by a penalty term. The paper studies both theoretically and numerically the dependence of the error on the penalty parameter. Several numerical examples demonstrate convergence and conservation properties of the finite element method." @default.
• W3100684080 created "2020-11-23" @default.
• W3100684080 creator A5034548395 @default.
• W3100684080 creator A5077985757 @default.
• W3100684080 date "2019-02-13" @default.
• W3100684080 modified "2023-10-15" @default.
• W3100684080 title "A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface" @default.
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• W3100684080 doi "https://doi.org/10.1007/s00021-019-0420-y" @default.
• W3100684080 hasPublicationYear "2019" @default.
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