Abstract
In this paper, the necessary theoretical analysis for the approximation boundary element method to solve dynamical response of viscoelastic thin plate presented in [1] is discussed. The theorem of existence and uniqueness of the approximate solution and the error estimation are also obtained. Based on these conclusions, the principle for choosing the mesh size and the number of truncated terms in the fundamental solution are given. It is shown that the theoretical analysis in this paper are consistent with the numerical results in [1].
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References
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Project supported by the National Natural Science Fundation of China
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Rui, D., Zhengyou, Z. & Changjun, C. Boundary element method for solving dynamical response of viscoelastic thin plate(II)—Theoretical analysis. Appl Math Mech 19, 101–110 (1998). https://doi.org/10.1007/BF02457677
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DOI: https://doi.org/10.1007/BF02457677