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20242026
most citedOutlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2026

Uniqueness and stability in bottom detection through surface measurements of water waves

Noureddine Lamsahel, Lionel Rosier

This paper investigates the geometric inverse problem of recovering the bottom shape from surface measurements of water waves. Using the general water-waves system on a bounded sub…

math.NA2025

IGA Laplace Eigenfrequencies Distributions and Estimations: Impact of Reparametrization on Eigenfrequency Behavior

Noureddine Lamsahel, Lamsahel Noureddine, Abdeladim El Akri +1

This work addresses the Galerkin isogeometric discretization of the one-dimensional Laplace eigenvalue problem subject to homogeneous Dirichlet boundary conditions on a bounded int…

math-ph2025

A Direct Approach for Detection of Bottom Topography in Shallow Water

Lamsahel Noureddine, Carole Rosier

We propose a fast, stable, and direct analytic method to detect underwater channel topography from surface wave measurements, based on one-dimensional shallow water equations. The…

math.NA2025★ 1 cited

Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions

Noureddine Lamsahel, Carla Manni, Ahmed Ratnani +2

We derive explicit closed-form expressions for the eigenvalues and eigenvectors of the matrices resulting from isogeometric Galerkin discretizations based on outlier-free spline su…

math.NA2024

Eigenvalues Distributions and Control Theory

N. Lamsahel, A. El Akri, A. Ratnani

This work deals with the isogeometric Galerkin discretization of the eigenvalue problem related to the Laplace operator subject to homogeneous Dirichlet boundary conditions on boun…