TY - JOUR
T1 - Dimensional reduction for the plate in elasticity on an unbounded domain
AU - Liu, K. M.
N1 - Funding Information:
This research was partially supported by the National Science Council of the Republic of China under Grant No. NSC-87-2115-M-018-008. The author wishes to thank the referees for their helpful suggestions.
PY - 1999/9
Y1 - 1999/9
N2 - The dimensional reduction method is investigated for solving boundary value problems of the plate in elasticity on domain Ω(d) := R2 x (-d, d) by replacing the problems with systems of equations in R2. The basic tool to analyze the dimensional reduction technique for problems on an unbounded domain Ω(d) is the use of Fourier-transformation. The error estimates between the exact solution and the dimensionally reduced solution in a Hilbert space are obtained when d and N are given. The rates of convergence depends on the smoothness of the data on the faces.
AB - The dimensional reduction method is investigated for solving boundary value problems of the plate in elasticity on domain Ω(d) := R2 x (-d, d) by replacing the problems with systems of equations in R2. The basic tool to analyze the dimensional reduction technique for problems on an unbounded domain Ω(d) is the use of Fourier-transformation. The error estimates between the exact solution and the dimensionally reduced solution in a Hilbert space are obtained when d and N are given. The rates of convergence depends on the smoothness of the data on the faces.
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U2 - 10.1016/S0895-7177(99)00144-2
DO - 10.1016/S0895-7177(99)00144-2
M3 - Article
AN - SCOPUS:0033198967
VL - 30
SP - 1
EP - 22
JO - Mathematical and Computer Modelling
JF - Mathematical and Computer Modelling
SN - 0895-7177
IS - 5-6
ER -