Optimal estimates on stabilized finite volume methods for the three dimensional Navier–Stokes model are investigated and developed in this paper. Based on the global existence theorem [23], we first prove the global bound for the velocity in the
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A Coupled Method Combining Crouzeix-Raviart Nonconforming and Node Conforming Finite Element Spaces for Boit Consolidation Model
A mixed finite element method is presented for the Biot consolidation problem in poroelasticity.
More precisely, the displacement is approximated by using the Crouzeix-Raviart
nonconforming finite elements, while the fluid pressure is approximated by using the node
conforming finite elements. The well-posedness of the fully discrete scheme is established,
and a corresponding priori error estimate with optimal order in the energy norm is also
derived. Numerical experiments are provided to validate the theoretical results.
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- PAR ID:
- 10536777
- Publisher / Repository:
- Global Science Press
- Date Published:
- Journal Name:
- Journal of Computational Mathematics
- Volume:
- 42
- Issue:
- 4
- ISSN:
- 0254-9409
- Page Range / eLocation ID:
- 911 to 931
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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