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An improved reduced basis method to solve nonlinear problems
Author(s) -
Imazatene A.,
Zahrouni H.,
PotierFerry M.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200008014131
Subject(s) - computation , basis (linear algebra) , nonlinear system , series (stratigraphy) , mathematics , computer science , algorithm , mathematical optimization , term (time) , geometry , paleontology , physics , quantum mechanics , biology
Many works have established the efficiency of asymptotic numerical methods (direct computation of series, the use of Padé approximants, or the reduced basis technique) to solve nonlinear problems (see ]1[). It has been written (see ]2[ that the reduced basis technique (Rayleigh‐Ritz method) is the most efficient in term of step lenght. Nevertheless, as long as a cheaper algorithm to compute the coefficients of the reduced problem is not found, the most attractive technique remains the rational fictions. In this work is presented an attempt to reduce this computation time. The method consists an coupling Padé approximants with the reduced basis technique in order to obtain an efficient algorithm.