A finite element algorithm using linear tetrahedral elements for quantum mechanical calculations

DOI10.1016/S0010-4655(00)00239-3zbMath0973.81015OpenAlexW1976988014MaRDI QIDQ5938252

M. W. Cadilhe, J. J. Soares Neto

Publication date: 29 November 2001

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(00)00239-3

zbMATH Keywords

Galerkin methodFORTRAN codeh-versionharmonic oscillatorthree-dimensional

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Software, source code, etc. for problems pertaining to quantum theory (81-04) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Applications to the sciences (65Z05)

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Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A numerical study of various finite-element method schemes applied to quantum mechanical calculations
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
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