2 citations · 2 across the 8 of their papers we have counts for
4 papers · 2 filters
Quadratic Weighted Histopolation on Tetrahedral Meshes with Probabilistic Degrees of Freedom
Allal Guessab, Federico Nudo
In this paper we introduce three complementary three-dimensional weighted quadratic enrichment strategies to improve the accuracy of local histopolation on tetrahedral meshes. The…
A General Probability Density Framework for Local Histopolation and Weighted Function Reconstruction from Mesh Line Integrals
Francesco Dell'Accio, Allal Guessab, Mohammed Kbiri Alaoui +1
In this paper, we study the reconstruction of a bivariate function from weighted integrals along the edges of a triangular mesh, a problem of central importance in tomography, comp…
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…
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…