- Title
- A mixed finite element method for a sixth-order elliptic problem
- Creator
- Droniou, Jérôme; Ilyas, Muhammad; Lamichhane, Bishnu P.; Wheeler, Glen E.
- Relation
- ARC.DP150100375 http://purl.org/au-research/grants/arc/DP150100375
- Relation
- IMA Journal of Numerical Analysis Vol. 39, p. 374-397
- Publisher Link
- http://dx.doi.org/10.1093/imanum/drx066
- Publisher
- Oxford University Press
- Resource Type
- journal article
- Date
- 2019
- Description
- We consider a saddle-point formulation for a sixth-order partial differential equation and its finite element approximation, for two sets of boundary conditions. We follow the Ciarlet–Raviart formulation for the biharmonic problem to formulate our saddle-point problem and the finite element method. The new formulation allows us to use the H1-conforming Lagrange finite element spaces to approximate the solution. We prove a priori error estimates for our approach. Numerical results are presented for linear and quadratic finite element methods.
- Subject
- sixth-order problem; higher-order partial differential equations; biharmonic problem; mixed finite elements; error estimates
- Identifier
- http://hdl.handle.net/1959.13/1407466
- Identifier
- uon:35730
- Identifier
- ISSN:0272-4979
- Rights
- This is a pre-copyedited, author-produced version of an article accepted for publication in the IMA Journal of Numerical Analysis following peer review. The version of the above record is available online at: https://doi.org/10.1093/imanum/drx066.
- Language
- eng
- Full Text
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