Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems
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 Elemen...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Creusé, E. [verfasserIn] Le Menach, Y. [verfasserIn] Nicaise, S. [verfasserIn] Piriou, F. [verfasserIn] Tittarelli, R. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Computers and mathematics with applications - Amsterdam [u.a.] : Elsevier Science, 1975, 77, Seite 1549-1562 |
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| Übergeordnetes Werk: |
volume:77 ; pages:1549-1562 |
| DOI / URN: |
10.1016/j.camwa.2018.08.046 |
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ELV00180538X |
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| 245 | 1 | 0 | |a Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
| 264 | 1 | |c 2018 | |
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| 520 | |a 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. | ||
| 650 | 4 | |a A posteriori estimator | |
| 650 | 4 | |a Eddy current problem | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Nédélec and Raviart–Thomas elements | |
| 650 | 4 | |a Time-harmonic analysis | |
| 650 | 4 | |a 3D problem | |
| 700 | 1 | |a Le Menach, Y. |e verfasserin |4 aut | |
| 700 | 1 | |a Nicaise, S. |e verfasserin |4 aut | |
| 700 | 1 | |a Piriou, F. |e verfasserin |4 aut | |
| 700 | 1 | |a Tittarelli, R. |e verfasserin |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Computers and mathematics with applications |d Amsterdam [u.a.] : Elsevier Science, 1975 |g 77, Seite 1549-1562 |h Online-Ressource |w (DE-627)320435121 |w (DE-600)2004251-6 |w (DE-576)259271225 |x 1873-7668 |7 nnns |
| 773 | 1 | 8 | |g volume:77 |g pages:1549-1562 |
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2018 |
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10.1016/j.camwa.2018.08.046 doi (DE-627)ELV00180538X (ELSEVIER)S0898-1221(18)30472-3 DE-627 ger DE-627 rda eng 510 004 DE-600 31.80 bkl 54.80 bkl Creusé, E. verfasserin aut Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem Le Menach, Y. verfasserin aut Nicaise, S. verfasserin aut Piriou, F. verfasserin aut Tittarelli, R. verfasserin aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 77, Seite 1549-1562 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:77 pages:1549-1562 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 54.80 Angewandte Informatik AR 77 1549-1562 |
| spelling |
10.1016/j.camwa.2018.08.046 doi (DE-627)ELV00180538X (ELSEVIER)S0898-1221(18)30472-3 DE-627 ger DE-627 rda eng 510 004 DE-600 31.80 bkl 54.80 bkl Creusé, E. verfasserin aut Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem Le Menach, Y. verfasserin aut Nicaise, S. verfasserin aut Piriou, F. verfasserin aut Tittarelli, R. verfasserin aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 77, Seite 1549-1562 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:77 pages:1549-1562 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 54.80 Angewandte Informatik AR 77 1549-1562 |
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10.1016/j.camwa.2018.08.046 doi (DE-627)ELV00180538X (ELSEVIER)S0898-1221(18)30472-3 DE-627 ger DE-627 rda eng 510 004 DE-600 31.80 bkl 54.80 bkl Creusé, E. verfasserin aut Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem Le Menach, Y. verfasserin aut Nicaise, S. verfasserin aut Piriou, F. verfasserin aut Tittarelli, R. verfasserin aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 77, Seite 1549-1562 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:77 pages:1549-1562 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 54.80 Angewandte Informatik AR 77 1549-1562 |
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10.1016/j.camwa.2018.08.046 doi (DE-627)ELV00180538X (ELSEVIER)S0898-1221(18)30472-3 DE-627 ger DE-627 rda eng 510 004 DE-600 31.80 bkl 54.80 bkl Creusé, E. verfasserin aut Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem Le Menach, Y. verfasserin aut Nicaise, S. verfasserin aut Piriou, F. verfasserin aut Tittarelli, R. verfasserin aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 77, Seite 1549-1562 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:77 pages:1549-1562 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 54.80 Angewandte Informatik AR 77 1549-1562 |
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10.1016/j.camwa.2018.08.046 doi (DE-627)ELV00180538X (ELSEVIER)S0898-1221(18)30472-3 DE-627 ger DE-627 rda eng 510 004 DE-600 31.80 bkl 54.80 bkl Creusé, E. verfasserin aut Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem Le Menach, Y. verfasserin aut Nicaise, S. verfasserin aut Piriou, F. verfasserin aut Tittarelli, R. verfasserin aut Enthalten in Computers and mathematics with applications Amsterdam [u.a.] : Elsevier Science, 1975 77, Seite 1549-1562 Online-Ressource (DE-627)320435121 (DE-600)2004251-6 (DE-576)259271225 1873-7668 nnns volume:77 pages:1549-1562 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.80 Angewandte Mathematik 54.80 Angewandte Informatik AR 77 1549-1562 |
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Enthalten in Computers and mathematics with applications 77, Seite 1549-1562 volume:77 pages:1549-1562 |
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A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem |
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Creusé, E. @@aut@@ Le Menach, Y. @@aut@@ Nicaise, S. @@aut@@ Piriou, F. @@aut@@ Tittarelli, R. @@aut@@ |
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Creusé, E. ddc 510 bkl 31.80 bkl 54.80 misc A posteriori estimator misc Eddy current problem misc Finite element method misc Nédélec and Raviart–Thomas elements misc Time-harmonic analysis misc 3D problem Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
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510 004 DE-600 31.80 bkl 54.80 bkl Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems A posteriori estimator Eddy current problem Finite element method Nédélec and Raviart–Thomas elements Time-harmonic analysis 3D problem |
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Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
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Two guaranteed equilibrated error estimators for Harmonic formulations in eddy current problems |
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Creusé, E. |
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Creusé, E. Le Menach, Y. Nicaise, S. Piriou, F. Tittarelli, R. |
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two guaranteed equilibrated error estimators for harmonic formulations in eddy current problems |
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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. |
| abstractGer |
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. |
| abstract_unstemmed |
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. |
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|
| score |
7.400118 |