Resolution of the one-dimensional scattering problem by a finite element method (Q1263263)
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scientific article; zbMATH DE number 4126628
| Language | Label | Description | Also known as |
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| English | Resolution of the one-dimensional scattering problem by a finite element method |
scientific article; zbMATH DE number 4126628 |
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Resolution of the one-dimensional scattering problem by a finite element method (English)
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1989
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This note solves the one-dimensional Schrödinger problem of the scattering of plane waves by a localized potential. The finite element method is shown to be instrumental in obtaining scattering and tunneling solutions of this problem. Computation of the wavefunction leads to solving two linear banded systems. This method is found more efficient in treatment of tunneling problems than earlier finite difference schemes.
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Schrödinger problem
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scattering
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finite element method
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tunneling solutions
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wavefunction
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