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Pointwise-in-time a posteriori error control for time-fractional parabolic equations
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-07-30 , DOI: 10.1016/j.aml.2021.107515 Natalia Kopteva 1
中文翻译:
时间分数抛物线方程的时间点后验误差控制
更新日期:2021-08-15
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-07-30 , DOI: 10.1016/j.aml.2021.107515 Natalia Kopteva 1
Affiliation
For time-fractional parabolic equations with a Caputo time derivative of order , we give pointwise-in-time a posteriori error bounds in the spatial and norms. Hence, an adaptive mesh construction algorithm is applied for the L1 method, which yields optimal convergence rates in the presence of solution singularities.
中文翻译:
时间分数抛物线方程的时间点后验误差控制
对于阶次为 Caputo 时间导数的时间分数抛物线方程 ,我们在空间上给出了时间点的后验误差界限 和 规范。因此,对 L1 方法应用了自适应网格构建算法,该算法可产生最佳收敛速度 在存在解奇点的情况下。