Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="142923.fig.0014a" src="https://static-preview.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0014a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Order 1</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="142923.fig.0014b" src="https://static-preview.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0014b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Order 2</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="142923.fig.0014c" src="https://static-preview.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0014c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Order 3</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="142923.fig.0014d" src="https://static-preview.hindawi.com/articles/jam/volume-2011/142923/figures/142923.fig.0014d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Order 4</td></tr></table></td></tr></table>

<table>Error difference of Helmholtz decomposition.</table>

Journal of Applied Mathematics

fig14

Figure 14

Figure 14: Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators 