Higher Order Fourier Finite Element Methods for Hodge Laplacian Problems on Axisymmetric Domains

Higher Order Fourier Finite Element Methods for Hodge Laplacian Problems on Axisymmetric Domains
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DOI:
10.1137/21s1416813
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发表时间:
2021
期刊:
SIAM Undergraduate Research Online
影响因子:
--
通讯作者:
Nicole Stock
Nicole Stock
中科院分区:
其他
文献类型:
--
作者:
Nicole Stock

文献摘要

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本文构造了一类新的高阶傅里叶有限元空间来离散轴对称Hodge laplace问题。我们证明了这些新的高阶傅立叶有限元方法提高了计算效率和精度。
In this paper, we construct a new family of higher order Fourier finite element spaces to discretize the axisymmetric Hodge Laplacian problems. We demonstrate that these new higher order Fourier finite element methods provide improved computational efficiency as well as increased accuracy.