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Linearized absorbing boundary conditions for Helmholtz eigenvalue problems1
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DOI：10.1016/j.camwa.2026.03.008.png)
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Abstract
En 中文
In this article, we propose new absorbing boundary conditions (ABC) for the Helmholtz eigenvalue problem. These conditions are derived from classical ABC using Newton’s algorithm to compute a rational approximation. We detail their linearization, then evaluate their efficiency through semi-analytical cases, and assess their performance in various numerical configurations. The advantage of the proposed method is that the linear eigenvalues problem we end up with is much cheaper to solve than the classical one. Also, the results show that the linearized ABCs provide a good balance between computational efficiency and precision.
Keywords:
Helmholtz eigenvalue problem
absorbing boundary conditions
Newton's algorithm
rational approximation
linearization
Journal
C
IF:
2.5
Papers:
188
Citations:
0