A new reduced basis method for non-linear problems
Keywords:
Asymptotic Numerical Methods, perturbation technique, reduced basis technique, non-linear elasticity, thin shells, Padé ApproximantsAbstract
An alternative reduced basis technique is proposed to solve a large class of non-linear problems. The basic idea is to reduce the linear problems obtained by perturbation technique and not the initial non-linear problem. The numerical efficiency of the new method is discussed in details and it tums out to be very attractive for large scale problems. A detailed analysis of classical reduced basis algorithms is also presented.
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