Finite element method for solving the Dirac eigenvalue problem with linear basis functions

DOI10.1016/j.jcp.2018.10.022zbMath1416.35171arXiv1709.04277OpenAlexW2963429814WikidataQ129085812 ScholiaQ129085812MaRDI QIDQ2311509

Hasan Almanasreh

Publication date: 10 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04277

zbMATH Keywords

Galerkin methodfinite element methodPetrov-Galerkin finite element methodspurious eigenvalueDirac eigenvalue problemstability scheme

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (1)

High-order finite element method for atomic structure calculations

Cites Work

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• Numerical solution of the Dirac equation by a mapped Fourier grid method
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• Two-time Green's function method in quantum electrodynamics of high-\(Z\) few-electron atoms

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