Numerical analysis on the mortar spectral element methods for Schrödinger eigenvalue problem with an inverse square potential

2020 ◽  
Vol 158 ◽  
pp. 54-84
Author(s):  
Lueling Jia ◽  
Huiyuan Li ◽  
Zhimin Zhang
Keyword(s):  
Numerical Analysis ◽  
Eigenvalue Problem ◽  
Spectral Element ◽  
Spectral Element Methods

Spectral Element Approximation for the Eigenvalue Problem of Hydrogen Atoms Electronic Structure

2013 ◽  
Vol 690-693 ◽  
pp. 3199-3202
Author(s):  
Jia Yu Han ◽  
Yi Du Yang
Keyword(s):  
Electronic Structure ◽  
Eigenvalue Problem ◽  
Numerical Experiments ◽  
Spectral Element ◽  
Element Approximation ◽  
Hydrogen Atoms ◽  
Local Refinement ◽  
Spectral Element Methods ◽  
Highly Efficient ◽  
Refinement Algorithm

In this paper, the spectral element methods are adopted to solve the eigenvalue problem of hydrogen atoms electronic structure. A local refinement algorithm based on spectral element approximation is constructed to solve the problem on different domains. Numerical experiments indicate this algorithm is highly efficient.

scholarly journals Multi-element SIAC Filter for Shock Capturing Applied to High-Order Discontinuous Galerkin Spectral Element Methods

2019 ◽  
Vol 81 (2) ◽  
pp. 820-844
Author(s):  
Marvin Bohm ◽  
Sven Schermeng ◽  
Andrew R. Winters ◽  
Gregor J. Gassner ◽  
Gustaaf B. Jacobs
Keyword(s):  
Discontinuous Galerkin ◽  
Spectral Element ◽  
High Order ◽  
Shock Capturing ◽  
Spectral Element Methods
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