3 papers
math.NA2025
Weighted and unweighted enrichment strategies for solving the Poisson problem with Dirichlet boundary conditions
Francesco Dell'Accio, Luca Desiderio, Allal Guessab +1
In this paper, we propose weighted and unweighted enrichment strategies to enhance the accuracy of the linear lagrangian finite element for solving the Poisson problem with Dirichl…
math.NA2025
Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials
Francesco Dell'Accio, Allal Guessab, Gradimir V. Milovanović +1
In this work, we introduce new families of nonconforming approximation methods for reconstructing functions on general polygonal meshes. These methods are defined using degrees of…
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…