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 - <p style="text-align: justify;">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&#39;s.</p>