Adv. Appl. Math. Mech., 16 (2024), pp. 715-737.
Published online: 2024-02
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In this paper, we present an application of the isoparametric finite element for the Reissner-Mindlin plate problem on bounded domain with curved boundary. The discrete scheme is established by isoparametric quadratic triangular finite element combined with a numerical quadrature. Under the certain numerical quadrature, we prove the existence and uniqueness of the numerical solutions and the error estimates of optimal order in $H^1$-norm are given in details with the help of rigorous analysis. Finally, a numerical example is provided to verify the theoretical results.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0206}, url = {http://global-sci.org/intro/article_detail/aamm/22935.html} }In this paper, we present an application of the isoparametric finite element for the Reissner-Mindlin plate problem on bounded domain with curved boundary. The discrete scheme is established by isoparametric quadratic triangular finite element combined with a numerical quadrature. Under the certain numerical quadrature, we prove the existence and uniqueness of the numerical solutions and the error estimates of optimal order in $H^1$-norm are given in details with the help of rigorous analysis. Finally, a numerical example is provided to verify the theoretical results.