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On the numerical analysis of the Von Karman equations: Mixed finite element approximation and continuation techniques

  • Maximal Order of Convergence of Spline Approximations for the Numerical Solution of Initial Value Problems
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The purpose of this paper is to study the approximation of the Von Karman equations by the mixed finite element scheme of Miyoshi and to follow the solutions arcs at a neighbourhood of the first eigenvalue of the linearized problem. This last problem is solved by a continuation method.

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Reinhart, L. On the numerical analysis of the Von Karman equations: Mixed finite element approximation and continuation techniques. Numer. Math. 39, 371–404 (1982). https://doi.org/10.1007/BF01407870

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