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A two-dimensional multilevel adaptive finite element method for the time-independent Schrödinger equation

✍ Scribed by J. Ackermann; R. Roitzsch

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
767 KB
Volume
214
Category
Article
ISSN
0009-2614

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✦ Synopsis

The subject of this study is a multilevel 2D finite element method (FEM) based on a local error estimator and self-adaptive grid refinement as a universal tool for solving stationary Schriidinger eigenvalue problems. Numerical results for standard problems appearing in vibrational motion and molecular electronic structure calculations are given and discussed. Results of relative precision IO-* are obtained. For the linear Hz+ 3 system the adaptive FEM turns out to be superior to global basis set expansions in the literature.

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