Finite Element Approximations to the Discrete Spectrum of the Schrödinger Operator with the Coulomb Potential

DOI10.1137/S0036142902403474zbMath1077.65117OpenAlexW2030658543MaRDI QIDQ4653147

Weiying Zheng, Lung-An Ying

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142902403474

zbMATH Keywords

error estimatesnumerical examplesCoulomb potentialspectrum approximationhelium systemmultielectron systemsSchrödinger equation, weighted norm, local regularization, finite element method

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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