Abstract
In this paper we present a nonconforming finite element method for solving fourth order curl equations in three dimensions arising from magnetohydrodynamics models. We show that the method has an optimal error estimate for a model problem involving both (▼×)2 and (▼×)4 operators. The element has a very small number of degrees of freedom, and it imposes the inter-element continuity along the tangential direction which is appropriate for the approximation of magnetic fields. We also provide explicit formulae of basis functions for this element. © 2011 American Mathematical Society.
Original language | English (US) |
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Pages (from-to) | 1871-1886 |
Number of pages | 16 |
Journal | Mathematics of Computation |
Volume | 80 |
Issue number | 276 |
DOIs | |
State | Published - Jul 27 2011 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-02-15ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics