Title :
Adaptive finite element method based on superconvergence
Author :
Demidov, Aleksander G. ; Yarevsky, Evgeny
Author_Institution :
Dept. of Phys., St.-Petersburg State Univ., Russia
Abstract :
The h-refinement algorithm based on superconvergence in the framework of the finite element method is presented. The algorithm is applied to the bound state calculations in the few-body quantum systems. The efficiency and accuracy of the approach is illustrated with the one-dimensional quadratic oscillator and with the neon trimer described by the three-dimensional Schrödinger equation.
Keywords :
Schrodinger equation; convergence of numerical methods; finite element analysis; quantum theory; adaptive finite element method; bound state calculations; few-body quantum systems; h-refinement algorithm; neon trimer; one-dimensional quadratic oscillator; superconvergence; three-dimensional Schrodinger equation; Accuracy; Diffraction; Eigenvalues and eigenfunctions; Error analysis; Finite element methods; Mathematical model; Stationary state;
Conference_Titel :
Days on Diffraction (DD), 2009 Proceedings of the International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4874-6
