7 papers
Finite Element Method For Solving The Dirac Eigenvalue Problem With Linear Basis Functions
Hasan Almanasreh
In this work we will treat the spurious eigenvalues obstacle that appears in the computation of the radial Dirac eigenvalue problem using numerical methods. The treatment of the sp…
fnf-Learning Mathematics
Hasan Almanasreh
This study concerns the use of e-learning in the mathematics education system, shedding the light on its advantages and disadvantages, analyzing its applicability either partially…
On G-convergence of positive Self-adjoint operators
Hasan Almanasreh, Mahmoud Shalalfeh
We apply G-convergence theory to study the asymptotic of the eigenvalue problems of positive definite bounded self-adjoint -dependent operators as . Two operators ar…
Strong convergence of wave operators for a family of Dirac operators
Hasan Almanasreh
We consider a family of Dirac operators with potentials varying with respect to a parameter . The set of potentials has different power-like decay independent of . The proofs…
hp-Cloud Approximation Of The Dirac Eigenvalue Problem: The Way Of Stability
Hasan Almanasreh
We apply -cloud method to the radial Dirac eigenvalue problem. The difficulty of occurrence of spurious eigenvalues among the genuine ones in the computation is resolved. The m…
G-Convergence of Dirac Operators
Hasan Almanasreh, Nils Svanstedt
We consider the linear Dirac operator with a (-1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for posi…