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To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator.
- Source :
-
Inverse Problems in Science & Engineering . Jun2014, Vol. 22 Issue 4, p641-671. 31p. - Publication Year :
- 2014
-
Abstract
- In this paper, we propose a simple, iteration free and easy-to-implement numerical algorithm for the solution of inverse Cauchy problem in linear or nonlinear elasticity. The bottom of a finite rectangular plate is imposed by overspecified boundary data, and we seek unknown data on the top side. A spring-damping transform method (SDTM) is introduced to the Navier equations, such that after a discretization by the differential quadrature method, we can apply a novel Lie-group integrator, namely the mixed group-preserving scheme (MGPS), to solve them as an initial value problem. Several numerical examples including nonlinear ones are examined to show that the MGPS can overcome the ill-posed behaviour of the inverse Cauchy problem in elasticity, which has good efficiency and stability against the noisy disturbance, even with an intensity large up toand. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17415977
- Volume :
- 22
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Inverse Problems in Science & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 94381281
- Full Text :
- https://doi.org/10.1080/17415977.2013.848434