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The solution algorithms include robust nonlinear and linear solution schemes, parameter continuation methods, and linear stability analysis techniques.
The simulation of such complex structural systems with the finite element method often requires the use of analysis control schemes, called continuation methods.
A harmonic balance technique coupled with a continuation scheme is utilized to trace the system response to changes in the magnitude of the applied harmonic forcing.
An appropriate continuation scheme is also applied, leading to evaluation of complete branches of periodic solutions.
Density-based topology optimization methods are employed in conjunction with regularization techniques, a continuation scheme, and mathematical programming methods.
Finally, a continuation scheme is presented that yields good results in terms of both binary discreteness and optimal performance.
A proper continuation scheme is proposed to all penalization coefficients in order to achieve black-and-white solutions.
In any case, the Liberal William Beveridge's scheme was a continuation of progressive Edwardian reforms and it entailed welfare payments only just above subsistence.
A continuation scheme is also introduced to systematically construct the solution as a function of a given parameter.
A multi-parameter continuation scheme is used to facilitate the convergence as the parameters of the problem are varied over a wide range.
The method of harmonic balance, coupled with a continuation scheme, is used to determine the solutions for an entire range of externally applied loading.
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