A robust boundary element method for nearly incompressible linear elasticity
A robust boundary element method for nearly incompressible linear elasticity
复制标题
近不可压缩线弹性的鲁棒边界元法
DOI：
10.1007/s00211-002-0449-2
复制
发表时间：
2003
影响因子：
2.1
通讯作者：
O. Steinbach
中科院分区：
文献类型：
--
作者：
O. Steinbach
摘要：对于线弹性力学中的Dirichlet边值问题，我们考虑了一种边界元方法，该方法对几乎不可压缩材料是鲁棒的。基于Stokes问题单层势的谱性质，我们引入了试探空间的正交分裂。由此产生的变分问题，然后良好的条件，并可以通过使用标准的边界元法离散。
Summary.For a Dirichlet boundary value problem in linear elasticity we consider a boundary element method which is robust for nearly incompressible materials. Based on the spectral properties of the single layer potential for the Stokes problem we introduce an orthogonal splitting of the trial space. The resulting variational problem is then well conditioned and can be discretized by using standard boundary element methods.