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The complex variable boundary element method: Applications
Author(s) -
Hromadka T. V.,
Yen C. C.,
Guymon G. L.
Publication year - 1985
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/nme.1620210604
Subject(s) - approximation error , variable (mathematics) , boundary (topology) , matching (statistics) , measure (data warehouse) , boundary element method , reduction (mathematics) , mathematics , algorithm , boundary value problem , boundary knot method , singular boundary method , finite element method , mathematical optimization , computer science , mathematical analysis , geometry , statistics , structural engineering , engineering , data mining
The complex variable boundary element method (CVBEM) is used to approximate several potential problems where analytical solutions are known: A modelling result produced from the CVBEM is a measure of relative error in matching the known boundary condition values of the problem. A CVBEM error‐reduction algorithm is used to reduce the relative error of the approximation by adding nodal points in boundary regions where error is large. From the‐test problems, overall error is reduced significantly by utilizing the adaptive integration algorithm.