@Article{AAMM-16-3, author = {Zhixin, Liu and Song, Minghui and Song, Shicang}, title = {An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2024}, volume = {16}, number = {3}, pages = {715--737}, abstract = {

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 = {https://global-sci.com/article/90867/an-isoparametric-finite-element-method-for-reissner-mindlin-plate-problem-on-curved-domain} }