3 papers
math.NA2024
Two one-parameter families of nonconforming enrichments of the Crouzeix-Raviart finite element
Federico Nudo
In this paper, we introduce two one-parameter families of quadratic polynomial enrichments designed to enhance the accuracy of the classical Crouzeix--Raviart finite element. These…
math.NA2024
A general quadratic enrichment of the Crouzeix--Raviart finite element
Federico Nudo
The Crouzeix--Raviart finite element method is widely recognized in the field of finite element analysis due to its nonconforming nature. The main goal of this paper is to present…
math.NA2024
A new quadratic and cubic polynomial enrichment of the Crouzeix-Raviart finite element
Francesco Dell'Accio, Allal Guessab, Federico Nudo
In this paper, we introduce quadratic and cubic polynomial enrichments of the classical Crouzeix--Raviart finite element, with the aim of constructing accurate approximations in su…