Journal ArticleDOI
Three-dimensional magnetic field determination using a scalar potential--A finite element solution
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In this article, a novel procedure of formulating the three-dimensional magnetic field problem in heterogeneous materials in terms of the unknown scalar potential φ and a known analytical solution for a vector potential which is caused by the specified current densities in a homogeneous domain is presented.Abstract:
A novel procedure of formulating the three-dimensional magnetic field problem in heterogeneous materials in terms of the unknown scalar potential φ and a known analytical solution for a vector potential which is caused by the specified current densities in a homogeneous domain is presented. The analytical solution to the auxiliary problem is easily determined, and the resulting scalar formulation presents considerable economies against the more obvious but costly direct solution with a three-component vector potential A. Two-and three-dimensional examples assuming linear behavior of the material are given to assess the accuracy of the process, and indication is given of the nature of iterations required for nonlinear properties.read more
Citations
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Journal ArticleDOI
On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics
J. Simkin,C. W. Trowbridge +1 more
TL;DR: In this paper, a set of computer algorithms for the solution of the three-dimensional non-linear Poisson field problem is presented that were obtained by applying algorithms to the analysis of two-dimensional magnetostatic fields.
Journal ArticleDOI
Three-dimensional nonlinear electromagnetic field computations, using scalar potentials
J. Simkin,C.W. Trowbridge +1 more
TL;DR: In this paper, a formulation based on scalar potentials for numerical solution of three-dimensional nonlinear static electromagnetic field problems is presented, and the resulting equations are solved using imite elements, based on a Galerkin procedure.
Journal ArticleDOI
Finite elements three dimensional magnetic field computation
TL;DR: In this paper, the variational formulations of magnetostatic scalar and vector potentials are reviewed and an original energy functional for non linear anisotropic vector potential with a proof of uniqueness of solution is proposed.
Journal ArticleDOI
A continuum three-dimensional, fully coupled, dynamic, non-linear finite element formulation for magnetostrictive materials
TL;DR: In this paper, the governing equations of the three-field problem (i.e., the interactions of elastic, electric and magnetic effects) are formulated in three dimensions, accounting for nonlinear (through magnetic body forces represented by the Maxwell tensor) and dynamic effects, and with constitutive equations resembling those of piezoelectricity.
Journal ArticleDOI
A conservative stabilized finite element method for the magneto-hydrodynamic equations
TL;DR: In this article, a finite element solution of the 3D magneto-hydrodynamics equations is presented, which takes explicitly into account the local conservation of the magnetic field, giving rise to a conservative formulation and introducing a new scalar variable.
References
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Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Journal ArticleDOI
The coupling of the finite element method and boundary solution procedures
TL;DR: The finite element method is now recognized as a general approximation process which is applicable to a variety of engineering problems and boundary solution procedures have been introduced as an independent alternative which at times is more economical and possesses certain merits as mentioned in this paper.
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Local and global smoothing of discontinuous finite element functions using a least squares method
E. Hinton,John S. Campbell +1 more
TL;DR: In this article, the concepts and potential advantages of local and global least squares smoothing of discontinuous finite element functions are introduced, and the relationship between local smoothing and the reduced integration technique is established.
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Finite-Element Solution of Unbounded Field Problems
B.H. McDonald,A. Wexler +1 more
TL;DR: In this paper, the integral equation is formulated as a constraint upon the local picture-frame solutions, whence these local solutions are solved directly by a variational method, using finite elements, in a manner such that the problem of the Green's-function singularity is side-stepped.
Journal ArticleDOI
Finite-element solution of 2-dimensional exterior-field problems
P. Silvester,M.-S. Hsieh +1 more
TL;DR: In this article, a method based on the finite element method of discretisation and compatible with existing finite-element techniques is described for the solution of field problems in which the region of prime interest is embedded in an infinitely extending region where Laplace's equation holds.
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