Analysis of a combined NC1-C2 method for elliptic problem

2015/09/10 by Dibyendu Adak, Adak, Dibyendu, E. Natarajan +1
Engineering · #65N12 #65N30 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1509.03079

openalex publication_date 2015/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown in this paper that non-conforming finite elements on the triangle using P¹-nonconforming polynomials and P² -conforming polynomials can be easily built and used.They appear as an 'enriched' version of the standard piecewise quadratic six-node element.This work is divided into two parts.In the first we present the basic- property of the element,namely how it can be built and basic error estimates.We have observed that this new element behaves like P¹ non-conforming element.In the second part we have applied our element to the elliptic problem and the theoretical estimate has been guaranteed by numerical result.

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