New computational approach for the linearized scalar potential formulation of the magnetostatic field problem
The linearized scalar potential formulation of the magnetostatic field problem is considered. The approach involves a reformulation of the continuous problem as a parametric boundary problem. By the introduction of a spherical interface and the use of spherical harmonics, the infinite boundary condition can also be satisfied in the parametric framework. The reformulated problem is discretized by finite element techniques and a discrete parametric problem is solved by conjugate gradient iteration. This approach decouples the problem in that only standard Neumann type elliptic finite element systems on separate bounded domains need be solved. The boundary conditions at infinity and the interface conditions are satisfied during the boundary parametric iteration.
- Research Organization:
- Brookhaven National Lab., Upton, NY (USA); Cornell Univ., Ithaca, NY (USA)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 5865401
- Report Number(s):
- BNL-30152; CONF-810954-2; ON: DE82002224
- Resource Relation:
- Conference: COMPUMAG conference, Argonne, IL, USA, 14 Sep 1981
- Country of Publication:
- United States
- Language:
- English
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