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Application of the finite element method to eigenvalue problems I. One dimensional calculations using optimized elements

โœ Scribed by Ralph Jaquet

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
963 KB
Volume
58
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

The finite element method (FEM) is used for solving the Schrodinger equation in one dimension. Simple model potentials are selected to compare analytical and numerical results. Within FEM, polynomials up to eighth order are used. A much higher accuracy of the eigenvalues could be achieved, if the size of the elements was adjusted to the node structure of the solution.

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