Name
Title | ||
|---|---|---|
Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
Abstract | ||
|---|---|---|
In this paper a guaranteed equilibrated error estimator is developed for the 3D harmonic magnetodynamic problem of Maxwell’s system. This system is recasted in the classical A−φ potential formulation and solved by the Finite Element method. The error estimator is built starting from the A−φ numerical solution by a local flux reconstruction technique. Its equivalence with the error in the energy norm is established. A comparison of this estimator with an equilibrated error estimator already developed through a complementary problem points out the advantages and drawbacks of these two estimators. In particular, an analytical benchmark test illustrates the obtained theoretical results and a physical benchmark test shows the efficiency of these two estimators. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.camwa.2018.08.046 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
A posteriori estimator,Eddy current problem,Finite element method,Nédélec and Raviart–Thomas elements,Time-harmonic analysis,3D problem | Mathematical analysis,Harmonic,Finite element method,Equivalence (measure theory),Eddy current,Flux,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
77 | 6 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. Creusé | 1 | 18 | 4.59 |
| Y. Le Menach | 2 | 0 | 0.34 |
| Serge Nicaise | 3 | 193 | 35.30 |
| Francis Piriou | 4 | 2 | 1.78 |
| Roberta Tittarelli | 5 | 0 | 0.34 |