Comparison of Vector Potential and Extended Scalar Potential Methods and True Three-Dimensional Magnetostatic Field Calculation

1984 ◽  
Vol PAS-103 (6) ◽  
pp. 1339-1347 ◽  
Author(s):  
Manfred Liese ◽  
Karl Lenz ◽  
Konrad Senske ◽  
Josef Spiegl
1991 ◽  
Vol 27 (6) ◽  
pp. 5010-5012 ◽  
Author(s):  
Y. Xu ◽  
Z. Jiang ◽  
Q. Wang ◽  
X. Xu ◽  
D. Sun ◽  
...  

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 201-210
Author(s):  
José Luis Morales Guerrero ◽  
Manuel Cánovas Vidal ◽  
José Andrés Moreno Nicolás ◽  
Francisco Alhama López

Abstract New additional conditions required for the uniqueness of the 2D elastostatic problems formulated in terms of potential functions for the derived Papkovich-Neuber representations, are studied. Two cases are considered, each of them formulated by the scalar potential function plus one of the rectangular non-zero components of the vector potential function. For these formulations, in addition to the original (physical) boundary conditions, two new additional conditions are required. In addition, for the complete Papkovich-Neuber formulation, expressed by the scalar potential plus two components of the vector potential, the additional conditions established previously for the three-dimensional case in z-convex domain can be applied. To show the usefulness of these new conditions in a numerical scheme two applications are numerically solved by the network method for the three cases of potential formulations.


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