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Singular‐ended spline interpolation for two‐dimensional boundary element analysis
Author(s) -
de Almeida Barros Pérsio Leister,
de Mesquita Neto Euclides
Publication year - 2000
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(20000220)47:5<951::aid-nme809>3.0.co;2-e
Subject(s) - mathematics , boundary element method , interpolation (computer graphics) , spline (mechanical) , mathematical analysis , spline interpolation , boundary (topology) , thin plate spline , finite element method , geometry , computer science , structural engineering , engineering , bilinear interpolation , animation , statistics , computer graphics (images)
A method of interpolation of the boundary variables that uses spline functions associated with singular elements is presented. This method can be used in boundary element method analysis of 2‐D problems that have points where the boundary variables present singular behaviour. Singular‐ended splines based on cubic splines and Overhauser splines are developed. The former provides C 2 ‐continuity and the latter C 1 ‐continuity across element edges. The potentialities of the methodology are demonstrated analysing the dynamic response of a 2‐D rigid footing interacting with a half‐space. It is shown that, for a given number of elements at the soil–foundation interface, the singular‐ended spline interpolation increases substantially the displacement convergence rate and delivers smoother traction distributions. Copyright © 2000 John Wiley & Sons, Ltd.