TY - JOUR
T1 - An algorithm for handling corners in the boundary element method
T2 - Application to conduction-convection equations
AU - Chan, Cho Lik
AU - Chandra, Abhijit
N1 - Funding Information:
C. L. Chan’s contributiont o this researchi s supported by Grant No. CTS-8909101o f the U.S. National Science Foundation. A. Chandra’s contribution to this researchi s supportedb y Grant No. DMC-8657345o f the U.S. National Science Foundation.
PY - 1991/5
Y1 - 1991/5
N2 - Accurate and efficient determination of temperatures and fluxes along with their design sensitivities in conduction-convection problems involving geometric or generalized corners is the primary objective of this paper. A boundary element method (BEM) approach is used for this purpose, and the design sensitivities are obtained through direct differentiation of the governing integral equations. Conforming elements are used, and corners are treated through constraint equations. Several numerical results are presented, and a few of them are compared with existing analytical results to establish the validity of this approach.
AB - Accurate and efficient determination of temperatures and fluxes along with their design sensitivities in conduction-convection problems involving geometric or generalized corners is the primary objective of this paper. A boundary element method (BEM) approach is used for this purpose, and the design sensitivities are obtained through direct differentiation of the governing integral equations. Conforming elements are used, and corners are treated through constraint equations. Several numerical results are presented, and a few of them are compared with existing analytical results to establish the validity of this approach.
KW - boundary element method
KW - conduction-convection
KW - corner algorithm
KW - design sensitivities
KW - mixed boundary value problem
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U2 - 10.1016/0307-904X(91)90002-7
DO - 10.1016/0307-904X(91)90002-7
M3 - Article
AN - SCOPUS:0026151817
SN - 0307-904X
VL - 15
SP - 244
EP - 255
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 5
ER -