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- W2945295956 abstract "In this paper, we construct some $H(curl^2)$-conforming finite elements on a rectangle (a parallelogram) and a triangle. The proposed elements possess some nice properties which have been proved by a rigorous theoretical analysis. Then we apply our new elements to construct a finite element space for discretizing the quad-curl problem. Convergence orders $O(h^k)$ in the $H$(curl) norm and $O(h^{k-1})$ in the $H(curl^2)$ norm are established. Numerical experiments are provided to confirm the theoretical results." @default.
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- W2945295956 date "2019-01-01" @default.
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- W2945295956 title "<i>H</i>(curl$^2$)-Conforming Finite Elements in 2 Dimensions and Applications to the Quad-Curl Problem" @default.
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- W2945295956 doi "https://doi.org/10.1137/18m1199988" @default.
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