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Guaranteed error bounds for finite element approximations of noncoercive elliptic problems and their applications

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概要 In this paper, we show constructive a priori and a posteriori error estimates of finite element approximations for not necessary coercive linear second order Dirichlet problems. Here, ’constructive’ m...eans we can get the error bounds in which all constants included are explicitly given or represented as a numerically computable form. Using the invertibility condition of concerning elliptic operator, constructive a priori and a posteriori error estimates are formulated. This kind of estimates plays essential and important roles in the numerical verification of solitions for nonlinear elliptic problems. Several numerical examples that confirm the actual effectiveness of the method are presented.続きを見る

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登録日 2009.04.22
更新日 2017.01.24