论文标题
与弱施加的对称性的线性弹性的混合等几何方法
Mixed Isogeometric Methods for Linear Elasticity with Weakly Imposed Symmetry
论文作者
论文摘要
我们考虑并在两个维度和三个维度中使用弱施加的对称性的线性弹性分配混合配方。尽管现有方法主要涉及简单或多边形网格，但我们利用了同几何分析（IGA），因此允许具有弯曲边界的形状。为了介绍离散空间，我们使用由适当的B型平台定义的iSODEGELED离散差分形式。对于拟议的方案，给出了适当性和误差估计的证明。此外，我们通过不同的数值示例讨论了我们的Ansatz。
We consider and discretize a mixed formulation for linear elasticity with weakly imposed symmetry in two and three dimensions. Whereas existing methods mainly deal with simplicial or polygonal meshes, we take advantage of isogeometric analysis (IGA) and consequently allow for shapes with curved boundaries. To introduce the discrete spaces we use isogeometric discrete differential forms defined by proper B-spline spaces. For the proposed schemes a proof of well-posedness and an error estimate are given. Further we discuss our ansatz by means of different numerical examples.
