- Title
- Optimal parameter for the stabilised five-field extended Hu-Washizu formulation
- Creator
- Ilyas, Muhammad; Lamichhane, Bishnu P.
- Relation
- ANZIAM Journal Vol. 61, p. C197-C213
- Publisher Link
- http://dx.doi.org/10.21914/anziamj.v61i0.15176
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2020
- Description
- We present a mixed finite element method for the elasticity problem. We expand the standard Hu-Washizu formulation to include a pressure unknown and its Lagrange multiplier. By doing so, we derive a five-field formulation. We apply a biorthogonal system that leads to an efficient numerical formulation. We address the coercivity problem by adding a stabilisation term with a parameter. We also present an analysis of the optimal choices of parameter approximation.
- Subject
- partial differential equation; finite element method; elasticity problem; five-field formulation; Hu-Washizu formulation
- Identifier
- http://hdl.handle.net/1959.13/1445327
- Identifier
- uon:42561
- Identifier
- ISSN:1446-1811
- Language
- eng
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