Defective Boundary Conditions for PDEs with Applications in Haemodynamics

Author(s):  
Luca Formaggia ◽  
Christian Vergara
2005 ◽  
Vol 14 ◽  
pp. 89-99 ◽  
Author(s):  
M. Fernández ◽  
A. Moura ◽  
C. Vergara

2012 ◽  
Vol 80 (2) ◽  
pp. 333-350 ◽  
Author(s):  
Luca Formaggia ◽  
Christian Vergara

2012 ◽  
Vol 169-170 ◽  
pp. 104-113 ◽  
Author(s):  
Keith J. Galvin ◽  
Hyesuk Lee ◽  
Leo G. Rebholz

Author(s):  
John W. Coleman

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.


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