论文标题
基于PDE的优化2D域中的对流扩散方程
PDE-Based Optimization for Advection Diffusion Equation in 2D Domain
论文作者
论文摘要
在本文中，我们提出了一个基于PDE的优化，该优化是由微流体传热问题引起的，以在2D域中找到最佳的不可压缩速度场。为了解决此优化模型，我们使用光谱方法来离散模型以获得基于ODE的优化。这样，可以显着降低离散优化模型的复杂性，并更准确地近似基于原始PDE的优化。获得了一些理论上的结果。
In this paper, we propose a PDE-based optimization motivated by the problem of microfluidic heat transfer to finding the optimal incompressible velocity fields in 2D domain. To solve this optimization model, we use spectral method to discretize the model to obtain an ODE based optimization. This way significantly reduces the complexity of the discretization optimization model, and gives a more accurate approximation of the original PDE based optimization. Some theoretical results are obtained.
