IJPAM: Volume 108, No. 2 (2016)

ON THE UNISOLVENT NONCONFORMING
FINITE ELEMENT METHOD

Dibyendu Adak$^1$, E. Natarajan$^2$
$^{1,2}$Department of Mathematics
Indian Institute of Space Science and Technology
Thiruvananthapuram, Kerala, INDIA

Abstract. In this paper, we introduce a new finite element on the triangle using $P^1$ nonconforming element enriched with incomplete $P^2$ conforming element. The resultant finite element approximation is piecewise quadratic discontinuous along the edges except at the mid points of the edges. The new finite element is unisolvent and satisfies the interpolation estimates.

Received: February 11, 2016

Revised: February 11, 2016

Published: October 1, 2016

AMS Subject Classification: 65L60, 65M60, 65M30

Key Words and Phrases: NC1-C2 element, $P^1$ element
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DOI: 10.12732/ijpam.v108i2.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 2
Pages: 387 - 393


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