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In the numerical verification method of solutions for nonlinear fourth order elliptic equations in nonconvex polygonal domains, it is important to find a constant in the constructive a priori error es...timate for the finite element approximation of bi-harmonic problems. We show these procedures by verified computational techniques using the Hermite spline functions for the two dimensional L-shaped domain. Several numerical examples which confirm the actual effectiveness of the method are presented.続きを見る
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