Virtual element for the buckling problem of Kirchhoff–Love plates
D Mora, I Velásquez - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
In this paper, we develop a virtual element method (VEM) of high order to solve the fourth
order plate buckling eigenvalue problem on polygonal meshes. We write a variational …
order plate buckling eigenvalue problem on polygonal meshes. We write a variational …
A mixed virtual element method for the vibration problem of clamped Kirchhoff plate
J Meng, L Mei - Advances in Computational Mathematics, 2020 - Springer
In this paper, we give a presentation of virtual element method for the approximation of the
vibration problem of clamped Kirchhoff plate, which involves the biharmonic eigenvalue …
vibration problem of clamped Kirchhoff plate, which involves the biharmonic eigenvalue …
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems
F Dassi, I Velásquez - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper we study a C 1 Virtual Element Method (VEM) on polyhedral meshes for bi-
harmonic eigenvalue problems in three dimensions. Optimal order error estimates for the …
harmonic eigenvalue problems in three dimensions. Optimal order error estimates for the …
特征值问题虚拟元方法发展综述
孟健， 梅立泉 - 工程数学学报, 2022 - jgsx-csiam.org.cn
偏微分方程特征值问题是非常重要的研究课题, 在科学和工程应用领域有重要意义, 例如,
非线性方程谱理论, 结构力学, 流体稳定性, 电子结构计算, 控制理论和逆散射问题[1–7] …
非线性方程谱理论, 结构力学, 流体稳定性, 电子结构计算, 控制理论和逆散射问题[1–7] …