Name
Abstract | ||
|---|---|---|
This paper deals with finite element methods for the numerical solution of the eddy current problem in a bounded conducting domain crossed by an electric current, subjected to boundary conditions involving only data easily available in applications. Two different cases are considered depending on the boundary data: input current intensities or differences of potential. Weak formulations in terms of the electric field are given in both cases. In the first one, the input current intensities are imposed by means of integrals on curves lying on the boundary of the domain and joining current entrances and exit. In the second one, the electric potentials are imposed by means of Lagrange multipliers, which are proved to represent the input current intensities. Optimal error estimates are proved in both cases and implementation issues are discussed. Finally, numerical tests confirming the theoretical results are reported. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s00211-005-0652-z | Numerische Mathematik |
Keywords | Field | DocType |
electric field formulation,low-frequency harmonic maxwell equations,boundary condition,numerical analysis,finite elements,eddy currents,boundary data,electric potential,lagrange multiplier,electric field,numerical test,computational electromagnetism.,eddy current model,input current intensity,eddy current problem,current entrance,numerical solution,78M10,65N30 | Boundary value problem,Electric field,Mathematical analysis,Finite element method,Electric potential,Eddy current,Numerical analysis,Mathematics,Weak formulation,Electric current | Journal |
Volume | Issue | ISSN |
102 | 2 | 0029-599X |
Citations | PageRank | References |
4 | 0.82 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfredo Bermúdez | 1 | 47 | 13.97 |
| Rodolfo Rodríguez | 2 | 38 | 8.89 |
| Pilar Salgado | 3 | 16 | 5.55 |