A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="176752.fig.005a" src="https://static.hindawi.com/articles/mpe/volume-2014/176752/figures/176752.fig.005a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>2nd order</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="176752.fig.005b" src="https://static.hindawi.com/articles/mpe/volume-2014/176752/figures/176752.fig.005b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>3rd order</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="176752.fig.005c" src="https://static.hindawi.com/articles/mpe/volume-2014/176752/figures/176752.fig.005c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>4th order</td></tr></table></td></tr></table>

<table>Convergence histories in terms of the number of iterations compared for the original-matrix, matrix-simplification, and matrix-simplification with SOR method, for (a) 2nd order, (b) 3rd order, and (c) 4th order.</table>

Mathematical Problems in Engineering

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Figure 5: A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes 