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

[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.

[发布日期] 2016-09-20

[学科分类] 数学（综合）

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