scholarly journals A standard energy eigenvalue problem for directly solving the stationary states of quantum billiards via boundary integral analysis

2021 ◽  
pp. 100027
Author(s):  
A.-V. Phan ◽  
M. Karimaghaei
Keyword(s):  
Eigenvalue Problem ◽  
Energy Eigenvalue ◽  
Boundary Integral ◽  
Stationary States ◽  
Integral Analysis ◽  
Standard Energy

Cell-based volume integration for boundary integral analysis

2012 ◽  
Vol 90 (7) ◽  
pp. 915-927 ◽  
Author(s):  
Matthew Koehler ◽  
Ruoke Yang ◽  
L.J. Gray
Keyword(s):  
Boundary Integral ◽  
Integral Analysis ◽  
Volume Integration

A Boundary Integral Analysis of Lugs Attached to Cylindrical Pressure Vessels

1988 ◽  
Vol 110 (4) ◽  
pp. 355-360 ◽  
Author(s):  
G. N. Brooks
Keyword(s):  
Integral Equation ◽  
Pressure Vessels ◽  
Boundary Integral ◽  
Green Functions ◽  
Integral Analysis ◽  
Simply Supported ◽  
Integral Equation Formulation ◽  
Load Carrying ◽  
Solution Methods ◽  
Rigid Attachment

Integral equations are derived to calculate the stresses and displacements in the neighborhood of a load-carrying rigid attachment in a shallow cylindrical shell. The integral equation formulation is simplified by modifying existing Green functions for the unbounded shell to account for simply supported boundary conditions at the ends of the vessel. The resulting equations are solved numerically. Three forces and three moments applied to the attachment are the loadings considered. Results for circular attachments agree with those found by other authors using different solution methods and with experiments.

Approximate Green's functions in boundary integral analysis

1999 ◽  
Vol 23 (3) ◽  
pp. 267-274 ◽  
Author(s):  
L.J. Gray ◽  
D. Maroudas ◽  
M.N. Enmark ◽  
E.F. D'Azevedo
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Boundary Integral ◽  
Integral Analysis
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