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 5 移动网格上求解的$L_2$误差($\varepsilon^2=0.0025$)
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| $N\times M$ | $t=0.5$ | $r$ | $t=1$ | $r$ | $ t=1.5$ | $ r$ | $ t=2$ | $r$ | | $50\times50$ | 1.622E-04 | | 2.400E-04 | | 4.571E-04 | | 6.861E-04 | | | $100\times100$ | 4.274E-05 | 1.92 | 5.581E-05 | 2.10 | 1.147E-04 | 1.99 | 1.750E-04 | 1.97 | | $200\times200$ | 1.948E-05 | 1.13 | 1.698E-05 | 1.72 | 2.800E-05 | 2.03 | 4.703E-05 | 1.90 |
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