C1-continuous Virtual Element Method for Poisson-Kirchhoff plate problem

Gyrya, Vitaliy¹  Mourad, Hashem Mohamed¹ 

[1] Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

关键词: Mathematics;    Virtual Element method;    biharmonic;    high order;    polygonal element;   

DOI  :  10.2172/1327994
RP-ID  :  LA-UR--16-27263
PID  :  OSTI ID: 1327994

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

We present a family of C1-continuous high-order Virtual Element Methods for Poisson-Kirchho plate bending problem. The convergence of the methods is tested on a variety of meshes including rectangular, quadrilateral, and meshes obtained by edge removal (i.e. highly irregular meshes). The convergence rates are presented for all of these tests.