Extended Fisher-Kolmogorov方程的间断有限元分析
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杨晓侠,张厚超
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Discontinuous Galerkin Finite Element Analysis of for the Extended Fisher-Kolmogorov Equation
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Xiaoxia Yang,Houchao Zhang
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表 1 $t = 1$时的数值计算结果($\tau = h^2)$
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$m^{2}$ | $\left\| {u^{n}-U_h^{n} } \right\|_h $ | 收敛阶 | $\left\| {v^{n}-V_h^{n} } \right\|_h $ | 收敛阶 | $4^{2}$ | 0.000046035 | — | 0.005970921 | — | $8^{2}$ | 0.000012875 | 1.8381 | 0.001790764 | 1.7374 | $16^{2}$ | 0.000003264 | 1.9799 | 0.000472460 | 1.9223 | $32^{2}$ | 0.000000793 | 2.0417 | 0.000117908 | 2.0025 | $64^{2}$ | 0.000000195 | 2.0240 | 0.000029285 | 2.0094 |
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