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Stabilized Finite Element Method For The Radial Dirac Equation

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dc.contributor.author Almanasreh, Hasan
dc.contributor.author Salomonson, Sten
dc.contributor.author Svanstedt, Nils
dc.date.accessioned 2019-10-14T16:58:32Z
dc.date.available 2019-10-14T16:58:32Z
dc.date.issued 2013-03-01
dc.identifier.uri http://dspace.hebron.edu:80/xmlui/handle/123456789/256
dc.description.abstract A challenging difficulty in solving the radial Dirac eigenvalue problem numerically is the presence of spurious (unphysical) eigenvalues, among the genuine ones, that are neither related to mathematical interpretations nor to physical explanations. Many attempts have been made and several numerical methods have been applied to solve the problem using the finite element method (FEM), the finite difference method, or other numerical schemes. Unfortunately most of these attempts failed to overcome the difficulty. As a FEM approach, this work can be regarded as a first promising scheme to solve the spuriosity problem completely. Our approach is based on an appropriate choice of trial and test function spaces. We develop a Streamline Upwind Petrov-Galerkin method to the equation and derive an explicit stability parameter. en_US
dc.language.iso en en_US
dc.publisher Journal of Computational Physics en_US
dc.subject Dirac operator en_US
dc.subject finite element scheme en_US
dc.subject spurious eigenvalue en_US
dc.subject cubic Hermite functions en_US
dc.subject Petrov-Galerkin en_US
dc.subject stability parameter en_US
dc.title Stabilized Finite Element Method For The Radial Dirac Equation en_US

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