Please use this identifier to cite or link to this item: http://dspace.hebron.edu:8080/xmlui/handle/123456789/260
Title: Finite element method for solving the Dirac eigenvalue problem with linear basis functions
Authors: Almanasreh, Hasan
Issue Date: 1-Jan-2019
Publisher: Journal of Computational Physics
Abstract: 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 spurious solution is based on applying Petrov-Galerkin finite element method. The significance of this work is the employment of just continuous basis functions, thus the need of a continuous function which has a continuous first derivative as a basis is no longer required. The Petrov-Galerkin finite element method for the Dirac eigenvalue problem strongly depends on a stability parameter, $\tau$, that controls the size of the diffusion terms added to the finite element formulation for the problem. The mesh-dependent parameter $\tau$ is derived based on the given problem with the particular basis functions.
URI: http://dspace.hebron.edu:80/xmlui/handle/123456789/260
Appears in Collections:Journals

Files in This Item:
File Description SizeFormat 
About the paper.docx10.12 kBMicrosoft Word XMLView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.