论文标题

Navier的虚拟元素方法 - Stokes方程与热方程式

Virtual Element Method for the Navier--Stokes Equation coupled with the Heat Equation

论文作者

Antonietti, Paola Francesca, Vacca, Giuseppe, Verani, Marco

论文摘要

我们考虑粘度取决于温度的热量方程的Navier-Stokes方程的虚拟元素离散化。我们介绍了耦合问题的虚拟元素离散化,显示其适当的性格并证明了最佳误差估计。还提出了确认理论误差边界的数值实验。

We consider the Virtual Element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the Virtual Element discretization of the coupled problem, show its well-posedness, and prove optimal error estimates. Numerical experiments which confirm the theoretical error bounds are also presented.

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