A comparison between finite element methods and spectral methods as applied to bound state problems

Marc Duff, Herschel Albert Rabitz, Attila Askar, Ahmet Cakmak, Mark Ablowitz

Research output: Contribution to journalArticle

43 Scopus citations

Abstract

The finite element and spectral methods are applied to two-dimensional bound state problems. A comparison of the spectral method, which requires a global basis set expansion of the wave functions, and the finite element method, which requires no such such expansion, is presented. A procedure is given for formulating the finite element approach and for achieving fast and accurate results. The convergence of the finite element calculations is considered and shown to be well behaved. A discussion of the extension of the finite element method to higher dimensions is also included.

Original languageEnglish (US)
Pages (from-to)1543-1559
Number of pages17
JournalThe Journal of chemical physics
Volume72
Issue number3
DOIs
StatePublished - Jan 1 1980

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Fingerprint Dive into the research topics of 'A comparison between finite element methods and spectral methods as applied to bound state problems'. Together they form a unique fingerprint.

  • Cite this