3 papers
math.NA2025
IGA Laplace Eigenfrequencies Distributions and Estimations: Impact of Reparametrization on Eigenfrequency Behavior
Lamsahel Noureddine, Abdeladim El Akri, Ahmed Ratnani
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.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…
math.NA2023
Auxiliary Splines Space Preconditioning for B-Splines Finite Elements: The case of and elliptic problems
Abdeladim El Akri, Khalide Jbilou, Ahmed Ratnani
This paper presents a study of large linear systems resulting from the regular -splines finite element discretization of the and elliptic p…