Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances
Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances
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DOI：
10.1007/s10915-005-9048-6
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发表时间：
2006-06
影响因子：
2.5
通讯作者：
R. Pasquetti;F. Rapetti
中科院分区：
文献类型：
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作者：
R. Pasquetti;F. Rapetti
三角形的谱元近似还不像四边形那样成熟。在这里，我们比较了不同的算法，并表明使用基于高斯点的简化积分规则是有趣的。我们指出，这可以有效地处理，并允许恢复理论预期的收敛速度，即使是弯曲的元素。
Spectral element approximations for triangles are not yet as mature as for quadrilaterals. Here we compare different algorithms and show that using an integration rule based on Gauss-points for simplices is of interest. We point out that this can be handled efficiently and allows to recover the convergence rate theoretically expected, even with curved elements.