Isogeometric analysis in advection-diffusion problems: Tension splines approximation
Isogeometric analysis in advection-diffusion problems: Tension splines approximation
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DOI：
10.1016/j.cam.2011.05.029
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发表时间：
2011-09
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影响因子：
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通讯作者：
C. Manni;F. Pelosi;M. Sampoli
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文献类型：
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作者：
C. Manni;F. Pelosi;M. Sampoli
在Hughes等人（2005）[6]引入的等几何分析新范式中，我们提出了一种新的方法来处理平流主导的平流扩散问题。关键因素是使用伽辽金近似空间具有高平滑度的函数，如基于经典b样条的IgA，但特别适合于描述包含非常强梯度的尖锐层。
We present a novel approach, within the new paradigm of isogeometric analysis introduced by Hughes et al. (2005) [6], to deal with advection dominated advection–diffusion problems. The key ingredient is the use of Galerkin approximating spaces of functions with high smoothness, as in IgA based on classical B-splines, but particularly well suited to describe sharp layers involving very strong gradients.