An isoparametric finite element method for Reissner-Mindlin plate problem on curved domain. (English) Zbl 07843077
Summary: 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.
MSC:
| 65N15 | Error bounds for boundary value problems involving PDEs |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
Keywords:
Reissner-Mindlin plate problem; isoparametric finite element; numerical quadrature; curved domainReferences:
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