自适应边界元法的后验误差估计

A Posteriori Error Estimates for Adaptive Boundary Element Methods

首先在 Sobolev空间的框架下 ,对一般的算子方程的 Galerkin逼近给出了后验误差估计的结果。然后 ,对以有限平面为屏蔽物的声散射问题 (其数学模型是三维 Helmholtz方程以有限平面为边界的 Neumann问题 )

In this paper a posteriori error estimates for Galerkin approximation of general operator equations is firstly presented in the framework of Sobolev spaces. Then a practical posteriori error estimates formula for the adaptive boundary element method solving the acoustic scattering problem with a finite plane screen is obtained by triangulations. The mathematical model of this problem is the three dimensional Neumann boundary value problem of Helmholtz equation with finite plane boundary.