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A quadratic‐element formulation of the complex variable boundary element method
Author(s) -
Bailey Robert T.,
Hsieh C. K.
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650150802
Subject(s) - mathematics , quadratic equation , boundary element method , element (criminal law) , variable (mathematics) , boundary (topology) , lagrange polynomial , boundary value problem , mathematical analysis , finite element method , geometry , polynomial , physics , political science , law , thermodynamics
The complex variable boundary element method (CVBEM) for simply connected domains is extended to include the use of quadratic elements and interpolating functions. The derivation follows the format for linear elements given in the literature, with second‐degree Lagrange polynomials taken as the interpolating functions. The quadratic‐element CVBEM nodal‐ and interior‐point equations are given in detail, and the resulting formulation is successfully tested by solving example problems with available analytical solutions. Comparisons of computational efficiency and accuracy are made between the solutions obtained using linear and quadratic elements. Additional comparisons are made using published results from other boundary element methods.