TY - JOUR
T1 - Numerical computation for inverse boundary determination problem
AU - Hon, Y. C.
AU - Wu, Zongmin
PY - 2000/9
Y1 - 2000/9
N2 - Based on the idea of radial basis interpolation for Hermite-Birkhoff data and the shift invariability of harmonic function space, a new computational method is developed to determine an unknown boundary of a domain from given values of the solution and its derivatives on only a part of the other boundary. This is a well-known inverse boundary determination problem that arises from using non-destructive evaluation techniques in the engineering industry. Error estimation of the computational method is also given and the numerical results indicate that the method provides an accurate approximation of the unknown boundary.
AB - Based on the idea of radial basis interpolation for Hermite-Birkhoff data and the shift invariability of harmonic function space, a new computational method is developed to determine an unknown boundary of a domain from given values of the solution and its derivatives on only a part of the other boundary. This is a well-known inverse boundary determination problem that arises from using non-destructive evaluation techniques in the engineering industry. Error estimation of the computational method is also given and the numerical results indicate that the method provides an accurate approximation of the unknown boundary.
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0342955473&origin=recordpage
U2 - 10.1016/S0955-7997(00)00040-0
DO - 10.1016/S0955-7997(00)00040-0
M3 - RGC 21 - Publication in refereed journal
SN - 0955-7997
VL - 24
SP - 599
EP - 606
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
IS - 7-8
ER -