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Cao, T.; Kelly, D. W.; Sloan, I. H.

Local error bounds for post-processed finite element calculations. (English) Zbl 0942.76036

Int. J. Numer. Methods Eng. 45, No. 8, 1085-1098 (1999).
Summary: We derive bounds for the error in the pointwise values of derivatives of a post-processed finite element solution to a potential flow problem, in which the boundary condition is purely normal velocity. Our approach can be modified for problems with Dirichlet boundary conditions. Our numerical experiments produce narrow error bounds at interior points and at points close to or on the boundary.

Cited in 6 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
65N15 Error bounds for boundary value problems involving PDEs

Keywords:

error bounds; boundary points; post-processed finite element solution; potential flow; interior points
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References:

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