| Transparent Boundary Conditions for Finite Element Method-Based Parabolic Equation |
Sungjin Ahn1 
, Jongyoung Kim1
, Kyungil Kwon2
, Yongheui Cho3
, Young-seek Chung1
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1Department of Electronic Convergence Engineering, Kwangwoon University, Seoul, Korea
2Agency for Defense Development, Daejeon, Korea
3School of Information and Communication Engineering, Mokwon University, Daejeon, Korea |
Correspondence:
Young-seek Chung,Email: yschung@kw.ac.kr
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Received: 6 August 2024 • Revised: 4 October 2024 • Accepted: 30 October 2024 |
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| Abstract |
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In this letter, we propose a novel transparent boundary condition (TBC) for finite element method-based parabolic equation (PE) analysis. Conventional PE analysis uses a Hamming window, etc., adding an extra region to suppress non-physical reflected waves, which results in an increase in the amount of computation required. In this letter, a new TBC based on the matrix pencil method is proposed to suppress non-physical reflected waves. The proposed algorithm not only reduces the computational load, since it only needs to calculate up to the actual region of interest, but also shows that non-physical reflected waves at the boundary can also be effectively suppressed. |
| Key words:
Finite Element Method, Matrix Pencil Method, Parabolic Equation, Transparent Boundary Condition, Wave Propagation |
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