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Finite Element Analysis with Paraxial Boundary Condition  

Kim, Hee-Seok (한양대학교 토목공학과)
Lee, Jong-She (한양대학교 토목공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.3, 2007 , pp. 303-309 More about this Journal
Abstract
For the propagation of elastic waves in unbounded domains, absorbing boundary conditions at the fictitious numerical boundaries have been proposed. In this paper we focus on both first and second order paraxial boundary conditions(PBCs) in the framework of variational approximations which are based on paraxial approximations of the scalar and elastic wave equations. We propose a penalty function method for the treatment of PBCs and apply these into finite element analysis. The numerical verification of the efficiency is carried out through comparing PBCs with Lysmer-Kuhlemeyer's boundary conditions.
Keywords
absorbing boundary; paranxial boundary; variational approximations; penalty function method;
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