Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 841–853
Abstract
The scattering problem from time-harmonic waves by a Neumann type crack in $\mathbb{R}^2$ is considered. A PML technique is used for solving the problem with a bounded domain instead of the infinite domain. A coupled finite-infinite element method is employed in the computation. Because of the singularity of the solution, the infinite element method is used near the crack tip. An error analysis is presented for the numerical approximation. The convergence order of the method is higher than FEM's.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-554
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 841–853
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: error estimate coupled infinite-finite element Helmholtz equation crack.