Error estimates of the DtN finite element method for the exterior Helmholtz problem
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摘要
A priori error estimates are established for the DtN (Dirichlet-to-Neumann) finite element method applied to the exterior Helmholtz problem. The error estimates include the effect of truncation of the DtN boundary condition as well as that of the finite element discretization. A property of the Hankel functions which plays an important role in the proof of the error estimates is introduced.
论文关键词:Exterior Helmholtz problem,Artificial boundary condition,Drichlet-to-Neumann operator,Finite element method,A priori error estimate
论文评审过程:Received 13 September 2004, Revised 7 December 2005, Available online 19 January 2006.
论文官网地址:https://doi.org/10.1016/j.cam.2005.12.004