Multigrid waveform relaxation on spatial finite element meshes
Multigrid waveform relaxation on spatial finite element meshes
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DOI：
10.1137/0733024
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发表时间：
1996-04
期刊：
影响因子：
--
通讯作者：
Jan Janssen;S. Vandewalle
中科院分区：
文献类型：
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作者：
Jan Janssen;S. Vandewalle
波形松弛法及其多重网格加速研究的解决方案程序的系统的常微分方程有限元离散的线性抛物型初边值问题。在有限长和无限长时间区间上，从理论上研究了连续时间算法的收敛性。此外，定量收敛估计和数值结果的一维和二维模型问题。
The waveform relaxation method and its multigrid acceleration are studied as solution procedures for the system of ordinary differential equations obtained by finite element discretisation of a linear parabolic initial boundary value problem. The convergence properties of the continuous-time algorithm are theoretically investigated on finite-length and infinite-length time-intervals. In addition, quantitative convergence estimates and numerical results are presented for one-dimensional and two-dimensional model problems.