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• W2086100658 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 to 10% and 20%." @default.
• W2086100658 created "2016-06-24" @default.
• W2086100658 creator A5090276712 @default.
• W2086100658 date "2013-10-24" @default.
• W2086100658 modified "2023-10-16" @default.
• W2086100658 title "To solve the inverse Cauchy problem in linear elasticity by a novel Lie-group integrator" @default.
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• W2086100658 doi "https://doi.org/10.1080/17415977.2013.848434" @default.
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