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- W4248609515 abstract "The effect of interpolated edges of curved boundaries on Raviart--Thomas finite element approximations is studied in this paper in the context of first-order system least squares methods. In particular, it is shown that an optimal order of convergence is achieved for lowest-order elements on a polygonal domain. This is illustrated numerically for an elliptic boundary value problem involving circular curves. The computational results also show that a polygonal approximation is not sufficient to achieve convergence of optimal order in the higher-order case." @default.
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- W4248609515 date "2014-01-01" @default.
- W4248609515 modified "2023-10-10" @default.
- W4248609515 title "First-Order System Least Squares on Curved Boundaries: Lowest-Order Raviart--Thomas Elements" @default.
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- W4248609515 doi "https://doi.org/10.1137/13091720x" @default.
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