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Volume 11, Issue 4
An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc

W. Sun, & F. Ma

Int. J. Numer. Anal. Mod., 11 (2014), pp. 841-853.

Published online: 2014-11

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  • 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.

  • Keywords

error estimate, coupled infinite-finite element, Helmholtz equation, crack.

  • AMS Subject Headings

65N12, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-841, author = {}, title = {An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/554.html} }
TY - JOUR T1 - An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 841 EP - 853 PY - 2014 DA - 2014/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/554.html KW - error estimate, coupled infinite-finite element, Helmholtz equation, crack. AB -

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.

W. Sun, & F. Ma. (1970). An Error Estimate of the Coupled Finite-Infinite Element Method for Scattering from an Arc. International Journal of Numerical Analysis and Modeling. 11 (4). 841-853. doi:
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