Promotion of the proton transfer reaction by the intermolecular stretching mode: Application of the two‐dimensional finite element method to the nuclear Schrödinger equation

1988 ◽  
Vol 89 (5) ◽  
pp. 2932-2937 ◽  
Author(s):  
Nobuyuki Sato ◽  
Suehiro Iwata
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Schrödinger Equation ◽  
Proton Transfer ◽  
Schrodinger Equation ◽  
Transfer Reaction ◽  
Proton Transfer Reaction ◽  
Two Dimensional ◽  
Dimensional Finite Element ◽  
Element Method

Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

2013 ◽  
Vol 5 (2) ◽  
pp. 180-193 ◽  
Author(s):  
Hongmei Zhang ◽  
Jicheng Jin ◽  
Jianyun Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Two Dimensional ◽  
Optimal Convergence ◽  
Standard Finite Element Method ◽  
Finite Element Schemes ◽  
Element Method

AbstractIn this paper, we construct semi-discrete two-grid finite element schemes and full-discrete two-grid finite element schemes for the two-dimensional time-dependent Schrödinger equation. The semi-discrete schemes are proved to be convergent with an optimal convergence order and the full-discrete schemes, verified by a numerical example, work well and are more efficient than the standard finite element method.

Sign in / Sign up

Export Citation Format

Share Document