2 citations · 2 across the 8 of their papers we have counts for
11 papers
Conditioning and Singular Value Distribution of Jacobi Weighted Histopolation Matrices
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In this paper, we first study the singular value distribution of the unscaled matrices arising from Jacobi weighted histopolation. For the Jacobi weight with parameters , an…
Exactly Diagonal Gram Matrices in Jacobi Weighted Histopolation
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In the current work, we study univariate polynomial weighted histopolation on , where the data are weighted integrals over a family of intervals. After choosing a polynomia…
Weighted Derivative Histopolation on Arbitrary Grids: Admissibility and Exact Factorizations
Allal Guessab, Federico Nudo
In this paper, we introduce a weighted derivative histopolation framework on families of intervals. The degrees of freedom consist of one scalar normalization and weighted integral…
Spectral distribution of Jacobi weighted histopolation matrices via GLT theory
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In this paper we study a weighted histopolation problem on associated with Jacobi weights. In the first part of the present work we prove results in approximation theory,…
Spectral Schur analysis of structured moment matrices for quadratic histopolation
Allal Guessab, Federico Nudo
In this paper we study parameter-dependent structured moment matrices with a canonical block form arising from weighted quadratic histopolation on simplicial meshes. For a strictly…
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…
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…
Lp-error Bounds Of Two And Three-point Quadrature Rules For Riemann-stieltjes Integrals
M. W. Alomari, A. Guessab
In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are give n. The presented proofs depend on new triangle type inequa…