论文标题
关于非线性耦合椭圆PDE系统的存在唯一性和数值计算
On the Existence Uniqueness and Numerical Computation of Non-linear Coupled Elliptic PDE System with its application
论文作者
论文摘要
在这项研究中，我们证明了使用Lax-Milgram定理，Galerkin方法，Brouwer的固定点定理的耦合非线性椭圆PDE系统的存在。后来，我们得出了PDE系统数值解的有限元方案，并为派生方案进行收敛分析。进一步成功地将该方案应用于与自由对流现象有关的应用程序。
In this study we prove the existence-uniqueness of a coupled non-linear elliptic PDE system using Lax-Milgram theorem, Galerkin Method, Brouwer's fixed point theorem. Later we derive the finite element scheme for the numerical solution of the PDE system and also carry out the convergence analysis for the derived scheme. Further successfully apply the scheme to an application related to free convection phenomena.
