VIRTUAL ELEMENTS FOR LINEAR ELASTICITY PROBLEMS
VIRTUAL ELEMENTS FOR LINEAR ELASTICITY PROBLEMS
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DOI：
10.1137/120874746
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发表时间：
2013-01-01
影响因子：
2.9
通讯作者：
Marini, L. D.
中科院分区：
文献类型：
--
作者：
da Veiga, L. Beirao;Brezzi, F.;Marini, L. D.
我们讨论了虚拟单元在可压缩和几乎不可压缩两种情况下的线弹性问题中的应用。虚拟单元非常接近于模拟有限差分(线弹性，参见[L.Berao da Veiga，M2AN Math.模特。诺默。分析，44(2010)，第231-250页])，尤其涉及高阶拟有限差分。因此，它们的共同之处在于能够准确地表示某些物理属性(守恒性、不可压缩性等)。并适用于非常一般的几何图形。虚拟单元的优点是延性，很容易实现高阶精度和高阶连续性。
We discuss the application of virtual elements to linear elasticity problems, for both the compressible and the nearly incompressible case. Virtual elements are very close to mimetic finite differences (see, for linear elasticity, [L. Beirao da Veiga, M2AN Math. Model. Numer. Anal., 44 (2010), pp. 231-250]) and in particular to higher order mimetic finite differences. As such, they share the good features of being able to represent in an exact way certain physical properties (conservation, incompressibility, etc.) and of being applicable in very general geometries. The advantage of virtual elements is the ductility that easily allows high order accuracy and high order continuity.