Comparison between cell-centered and nodal based discretization schemes for linear elasticity

  title={Comparison between cell-centered and nodal based discretization schemes for linear elasticity},
  author={Nilsen Halvor and Nordbotten Jan and Raynaud Xavier},
  journal={arXiv: Numerical Analysis},
In this paper we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface, and in particular sedimentary rocks, naturally lead to general polyhedral meshes. Numerical methods which can directly handle such representation are highly desirable. Many of the numerical challenges in simulation of subsurface applications come from the lack of robustness and accuracy of numerical methods in the… 
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