한국전산구조공학회:학술대회논문집 (Proceedings of the Computational Structural Engineering Institute Conference)
- 한국전산구조공학회 2008년도 정기 학술대회
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- Pages.33-38
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- 2008
탄성파 진행 문제를 위한 Paraxial 경계조건의 유한요소해석에 관한 연구
A Study on Finite Element Analysis with Paraxial Boundary Conditions for Elastic Wave Propagation
초록
For the propagation of elastic waves in unbounded domains, absorbing boundary conditions at the fictitious numerical boundaries have been proposed. Paraxial boundary conditions(PBCs) which are kinds of absorbing boundary conditions based on paraxial approximations of the scalar and elastic wave equations not only lead to well-posed problem but also are stable and computationally inexpensive. But the complex mathematical forms of PBCs with partial derivatives complicate the application of those to finite element analysis. In this paper a penalty functional is newly proposed for applying PBCs into finite element analysis and the existence and uniqueness of the extremum of the proposed functional is demonstrated. The numerical verification of the efficiency is carried out through comparing PBCs with a viscous boundary condition.