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A $$C^0$$C0 interior penalty method for a von Kármán plate

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We investigate a quadratic $$C^0$$C0 interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an… Click to show full abstract

We investigate a quadratic $$C^0$$C0 interior penalty method for the approximation of isolated solutions of a von Kármán plate. We prove that the discrete problem is uniquely solvable near an isolated solution and establish optimal order error estimates. Numerical results that illustrate the theoretical estimates are also presented.

Keywords: penalty method; interior penalty; von plate

Journal Title: Numerische Mathematik
Year Published: 2017

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