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.
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金朝嵩.自适应边界元法的后验误差估计[J].土木与环境工程学报(中英文),2000,22(6):16-19. JIN Chao song. A Posteriori Error Estimates for Adaptive Boundary Element Methods[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2000,22(6):16-19.10.11835/j. issn.1674-4764.2000.06.005