随机双曲型守恒律的多分辨分析
Multiresolution-analysis for stochastic hyperbolic conservation laws
摘要：
提出了求解随机守恒律的多分辨分析方法。采用一种新的自适应策略和高维确定性问题，一个不连续的伽辽金（DG）求解器。DG空间的多分辨率分析建议的适应策略。数值结果表明，在一般随机分布的情况下，新的自适应策略的DG求解器的性能显着提高。在计算实验中验证了效率的增益。
英文摘要：
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.
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