Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1-22 |
| Number of pages | 22 |
| Journal | Mathematical and Computer Modelling |
| Volume | 30 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - 1999 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computer Science Applications
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Dimensional reduction for the plate in elasticity on an unbounded domain. / Liu, K. M.
In: Mathematical and Computer Modelling, Vol. 30, No. 5-6, 01.09.1999, p. 1-22.Research output: Contribution to journal › Article
TY - JOUR
T1 - Dimensional reduction for the plate in elasticity on an unbounded domain
AU - Liu, K. M.
PY - 1999/9/1
Y1 - 1999/9/1
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.
UR - http://www.scopus.com/inward/record.url?scp=0033198967&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0033198967&partnerID=8YFLogxK
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 -