线性抛物型方程外区域问题的有限元与边界元耦合的数学理论

Mathematical Theory of the Coupled FEM and BEM for the Linear Parabolic Problem with Exterior Domain

本文对线性抛物方程外区域问题，应用有限元与边界元的耦合方法，给出了其完整的数学理论分析。我们借助一条辅助公共边界，导出耦合问题的变分形式，证明了耦合变分问题解的适定性，且获得了逼近解的收敛性与误差估计。

Abstract In this paper, we apply the coupling method of finite element method and boundary elemont method to the linear parabolic equation problem with exterior domain, and we present the theoretical analysis of the coupling method of FEM and BEM.