Abstract
We consider the application of the fictitious domain method to the problem of bending of a rigidly clamped anisotropic plate of constant thickness with a complex shape Ω. A rate-of-convergence bound is obtained for the proposed method in the form\(\left\| {u_\varepsilon - u} \right\|_{W\frac{2}{2}(\Omega )} \leqslant M\varepsilon \left\| f \right\|_{W_2^{ - 2} (\Omega )} \).
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 57–63, 1987.
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Voitsekhovskii, S.A., Novichenko, V.N. Fictitious domain method for problems of bending of anisotropic plates. J Math Sci 66, 2172–2176 (1993). https://doi.org/10.1007/BF01098602
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DOI: https://doi.org/10.1007/BF01098602