On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces

@article{Du2009OnMG,
  title={On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces},
  author={Qiang Du and Desheng Wang and Liyong Zhu},
  journal={SIAM J. Numerical Analysis},
  year={2009},
  volume={47},
  pages={1421-1444}
}
The performance of finite element computation depends strongly on the quality of the geometric mesh and the efficiency of the numerical solution of the linear systems resulting from the discretization of partial differential equation (PDE) models. It is common knowledge that mesh geometry affects not only the approximation error of the finite element solution but also the spectral properties of the corresponding stiffness matrix. In this paper, for typical second-order elliptic problems, some… CONTINUE READING
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