- Title
- A new minimization principle for the Poisson equation leading to a flexible finite element approach
- Creator
- Lamichhane, B. P.
- Relation
- ANZIAM Journal Vol. 59, Issue 2, p. 232-239
- Publisher Link
- http://dx.doi.org/10.1017/S144618111700030X
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2017
- Description
- A new minimization principle for the Poisson equation using two variables – the solution and the gradient of the solution – is introduced. This principle allows us to use any conforming finite element spaces for both variables, where the finite element spaces do not need to satisfy the so-called inf–sup condition. A numerical example demonstrates the superiority of this approach.
- Subject
- Poisson equation; minimization principle; mixed finite element method; a priori error estimate
- Identifier
- http://hdl.handle.net/1959.13/1386906
- Identifier
- uon:32483
- Identifier
- ISSN:1446-1811
- Rights
- This article has been published in a revised form in ANZIAM Journal http://dx.doi.org/10.1017/S144618111700030X. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press.
- Language
- eng
- Full Text
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