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INFINITE DOMAIN CORRECTION FOR IN‐PLANE BODY WAVES IN A TWO‐DIMENSIONAL BOUNDARY ELEMENT ANALYSIS
Author(s) -
HEYMSFIELD ERNEST
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970515)40:9<1687::aid-nme134>3.0.co;2-4
Subject(s) - discretization , truncation (statistics) , boundary (topology) , mathematical analysis , mathematics , truncation error , plane (geometry) , boundary element method , plane wave , domain (mathematical analysis) , finite element method , boundary value problem , space (punctuation) , geometry , physics , computer science , optics , statistics , thermodynamics , operating system
A method is described in this article to correct for the error that arises with the discretization of domains that include boundaries that extend to infinity. Typically when open domains are discretized, part of the boundary is excluded from the calculation resulting in a truncated region. Of particular interest in this article are earthquake wave amplification problems through zoned media. In these type of problems, the boundary element discretization scheme typically results in truncated regions. Correction for truncation in anti‐plane wave problems has already been addressed in a previous article by Heymsfield. In this article, truncation correction for in‐plane body waves in a damped material will be discussed. To prove the validity of the proposed technique, the method is checked by calculating the soil amplification of a unit in‐plane SV wave through a soil layer resting on a rock half‐space. Since an analytic solution exists for this problem, the problem serves as a good basis to compare results with and without the corrections for truncation. Results for this particular problem compare the analytic solution with the numerical solution considering (1) no truncation correction, (2) only layer correction, and (3) both layer and half‐space corrections. © 1997 by John Wiley & Sons, Ltd.