论文标题
随机双曲线保护法的多分辨率分析
Multiresolution-analysis for stochastic hyperbolic conservation laws
论文作者
论文摘要
提出了解决随机保护定律的多解析分析。使用一种新颖的适应策略和更高的确定性问题，得出了不连续的Galerkin（DG）求解器。提出了对提出的适应策略的DG空间的多解析分析。数值结果表明，在一般随机分布的情况下，新型的自适应策略可显着提高DG求解器的性能。效率的增益在计算实验中得到了验证。
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. A multiresolution analysis of the DG spaces for the proposed adaptation strategy is presented. Numerical results show that in the case of general stochastic distributions the performance of the DG solver is significantly improved by the novel adaptive strategy. The gain in efficiency is validated in computational experiments.
