求解二阶双曲型方程的自适应网格方法
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周琴,杨银
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Adaptive Mesh Method for Solving a Second-Order Hyperbolic Equation
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Qin Zhou,Yin Yang
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表 1 移动网格上求解的$L_2$误差($\varepsilon^2=0.0001$)
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| $N\times M$ | $t=0.5$ | $ r$ | $ t=1$ | $ r$ | $ t=1.5$ | $ r$ | $ t=2$ | $ r$ | | $50\times50$ | 9.508E-05 | | 2.797E-04 | | 5.684E-04 | | 9.174E-04 | | | $100\times100$ | 2.530E-05 | 1.91 | 8.225E-05 | 1.77 | 1.684E-04 | 1.76 | 2.673E-04 | 1.78 | | $200\times200$ | 8.934E-06 | 1.50 | 2.225E-05 | 1.89 | 4.630E-05 | 1.86 | 7.321E-05 | 1.87 |
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