Research Article

The Finite Volume Formulation for 2D Second-Order Elliptic Problems with Discontinuous Diffusion/Dispersion Coefficients

Figure 9

Test case 2: error curves for the gradient approximation (left plot) and the solution approximation (right plot). Problem (2.1)–(2.2) is solved using mesh family and the discontinuous diffusion tensor (4.7). The errors obtained by average (3.18)-(3.19) are marked by circles, the errors obtained by using the weighted arithmetic average are marked by squares. In the bottom-left corner of both plots we show the exact slopes proportional to (gradient errors) and to and (solution errors).
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