Journal
MULTIBODY SYSTEM DYNAMICS
Volume 42, Issue 4, Pages 397-410Publisher
SPRINGER
DOI: 10.1007/s11044-017-9600-9
Keywords
Adjoint method; Discrete adjoint method; Parameter identification
Categories
Funding
- Austrian Science Fund (FWF) [T733-N30]
- University of Applied Sciences Upper Austria
- Austrian Science Fund (FWF) [T733] Funding Source: Austrian Science Fund (FWF)
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The adjoint method is an elegant approach for the computation of the gradient of a cost function to identify a set of parameters. An additional set of differential equations has to be solved to compute the adjoint variables, which are further used for the gradient computation. However, the accuracy of the numerical solution of the adjoint differential equation has a great impact on the gradient. Hence, an alternative approach is the discrete adjoint method, where the adjoint differential equations are replaced by algebraic equations. Therefore, a finite difference scheme is constructed for the adjoint system directly from the numerical time integration method. The method provides the exact gradient of the discretized cost function subjected to the discretized equations of motion.
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