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1篇 您的检索式:作者名="K.Andrew Cliffe"
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1Adaptivity and A Posteriori Error Control for Bifurcation Problems Ⅰ:The Bratu Problem显示文摘This article is concerned with the numerical detection of bifurcation points of nonlinear partial differential equations as some parameter of interest is varied.In particular,we study in detail the numerical approximation of the Bratu problem,based on exploiting the symmetric version of the interior penalty discontinuous Galerkin finite element method.A framework for a posteriori control of the discretization error in the computed critical parameter value is developed based upon the application of the dual weighted residual(DWR)approach.Numerical experiments are presented to highlight the practical performance of the proposed a posteriori error estimator.K.Andrew Cliffe Edward J.C.Hall Paul Houston Eric T.Phipps Andrew G.Salinger 2010Communications in Computational Physics2010,8,9:0
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