具有非均匀散射系数的辐射输运方程的低秩Schwarz方法
A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient
摘要：
随机抽样已被用来寻找低秩结构，并建立快速直接求解器的多尺度偏微分方程的各种类型。在这项工作中，我们设计了一个加速施瓦茨方法的辐射传输方程，利用近似的局部解映射离线构建通过随机采样策略。数值算例验证了该方法的准确性、鲁棒性和有效性。
英文摘要：
Random sampling has been used to find low-rank structure and to build fast direct solvers for multiscale partial differential equations of various types. In this work, we design an accelerated Schwarz method for radiative transfer equations that makes use of approximate local solution maps constructed offline via a random sampling strategy. Numerical examples demonstrate the accuracy, robustness, and efficiency of the proposed approach.
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