Hybrid Particle Swarm-Ant Colony Algorithm to Describe the Phase Equilibrium of Systems Containing Supercritical Fluids with Ionic Liquids
Hybrid Particle Swarm-Ant Colony Algorithm to Describe the Phase Equilibrium of Systems Containing Supercritical Fluids with Ionic Liquids
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DOI：
10.4208/cicp.200312.190712a
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发表时间：
2013-07
影响因子：
3.7
通讯作者：
J. A. Lazzús
中科院分区：
文献类型：
--
作者：
J. A. Lazzús
在数学和物理的交叉领域，我们研究了一个物理问题，多孔介质中的流体流动，这是一个随机偏微分方程（SPDE）表示。我们首先给出了一个物理模型约束的优化问题的解的先验误差估计，在比文献更低的正则性假设下。然后，我们使用Galerkin有限元方法的概念，建立一个新的数值算法，给出我们的随机最优物理问题的近似。最后，我们开发了原始的计算机程序的基础上的算法，并使用几个数值例子的各种simulations，看看我们的求解器的工作原理，通过比较其输出的先验误差估计。
In an interdisciplinary field on mathematics and physics, we examine a physical problem, fluid flow in porous media, which is represented by a stochastic partial differential equation (SPDE). We first give a priori error estimates for the so- lutions to an optimization problem constrained by the physical model under lower regularity assumptions than the literature. We then use the concept of Galerkin fi- nite element methods to establish a new numerical algorithm to give approximations for our stochastic optimal physical problem. Finally, we develop original computer programs based on the algorithm and use several numerical examples of various sit- uations to see how well our solver works by comparing its outputs to the priori error estimates.