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arXiv 1909.09103math.NAcs.NA
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非线性守恒律的熵稳定降阶建模

Entropy stable reduced order modeling of nonlinear conservation laws

Jesse Chan

摘要:

流体动力学中的非线性守恒律的降阶模型通常不继承全阶模型的稳定性。我们引入基于投影的超降阶模型的非线性守恒律,这是全局保守的,并继承了半离散的熵不等式的基础和参数的选择无关。

英文摘要:

Reduced order models of nonlinear conservation laws in fluid dynamics do not typically inherit stability properties of the full order model. We introduce projection-based hyper-reduced models of nonlinear conservation laws which are globally conservative and inherit a semi-discrete entropy inequality independently of the choice of basis and choice of parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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