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Adaptive finite ele...
Adaptive finite element methods for parameter estimation problems in linear elasticity
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- Feng, Tao (author)
- Mittuniversitetet,Institutionen för naturvetenskap, teknik och matematik (-2012)
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- Gulliksson, Mårten (author)
- Mittuniversitetet,Institutionen för naturvetenskap, teknik och matematik (-2012)
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Liu, Wenbin (author)
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(creator_code:org_t)
- 2009
- 2009
- English.
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In: International Journal of Numerical Analysis & Modeling. - 1705-5105. ; 6:1, s. 17-32
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Abstract
Subject headings
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- In this paper, the Lame coefficients in the linear elasticity problem are estimated by using the measurements of displacement. Some a posteriori error estimators for the approximation error of the parameters are derived, and then adaptive finite element schemes are developed for the discretization of the parameter estimation problem, based on the error estimators. The Gauss-Newton method is employed to solve the discretized nonlinear least-squares problem. Some numerical results are presented.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- finite element methods
- inverse problems
- paramater estimation
- MATHEMATICS
- MATEMATIK
- Numerical analysis
- Numerisk analys
Publication and Content Type
- ref (subject category)
- art (subject category)
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