A transient eddy current problem on a moving domain. Numerical analysis
Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdom...
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| Autor*in: |
Bermúdez, A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2015 |
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Enthalten in: Advances in computational mathematics - Springer US, 1993, 42(2016), 4 vom: 25. Jan., Seite 757-789 |
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volume:42 ; year:2016 ; number:4 ; day:25 ; month:01 ; pages:757-789 |
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10.1007/s10444-015-9441-0 |
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OLC2075630089 |
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| 520 | |a Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. | ||
| 650 | 4 | |a Electromagnetic forming | |
| 650 | 4 | |a Transient eddy current problem | |
| 650 | 4 | |a Axisymmetric problem | |
| 650 | 4 | |a Degenerate parabolic problem | |
| 650 | 4 | |a Moving domain | |
| 650 | 4 | |a Finite elements | |
| 700 | 1 | |a Muñoz-Sola, R. |4 aut | |
| 700 | 1 | |a Reales, C. |4 aut | |
| 700 | 1 | |a Rodríguez, R. |4 aut | |
| 700 | 1 | |a Salgado, P. |4 aut | |
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10.1007/s10444-015-9441-0 doi (DE-627)OLC2075630089 (DE-He213)s10444-015-9441-0-p DE-627 ger DE-627 rakwb eng 510 VZ Bermúdez, A. verfasserin aut A transient eddy current problem on a moving domain. Numerical analysis 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. Electromagnetic forming Transient eddy current problem Axisymmetric problem Degenerate parabolic problem Moving domain Finite elements Muñoz-Sola, R. aut Reales, C. aut Rodríguez, R. aut Salgado, P. aut Enthalten in Advances in computational mathematics Springer US, 1993 42(2016), 4 vom: 25. Jan., Seite 757-789 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:42 year:2016 number:4 day:25 month:01 pages:757-789 https://doi.org/10.1007/s10444-015-9441-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_4266 GBV_ILN_4323 AR 42 2016 4 25 01 757-789 |
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10.1007/s10444-015-9441-0 doi (DE-627)OLC2075630089 (DE-He213)s10444-015-9441-0-p DE-627 ger DE-627 rakwb eng 510 VZ Bermúdez, A. verfasserin aut A transient eddy current problem on a moving domain. Numerical analysis 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. Electromagnetic forming Transient eddy current problem Axisymmetric problem Degenerate parabolic problem Moving domain Finite elements Muñoz-Sola, R. aut Reales, C. aut Rodríguez, R. aut Salgado, P. aut Enthalten in Advances in computational mathematics Springer US, 1993 42(2016), 4 vom: 25. Jan., Seite 757-789 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:42 year:2016 number:4 day:25 month:01 pages:757-789 https://doi.org/10.1007/s10444-015-9441-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_4266 GBV_ILN_4323 AR 42 2016 4 25 01 757-789 |
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10.1007/s10444-015-9441-0 doi (DE-627)OLC2075630089 (DE-He213)s10444-015-9441-0-p DE-627 ger DE-627 rakwb eng 510 VZ Bermúdez, A. verfasserin aut A transient eddy current problem on a moving domain. Numerical analysis 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. Electromagnetic forming Transient eddy current problem Axisymmetric problem Degenerate parabolic problem Moving domain Finite elements Muñoz-Sola, R. aut Reales, C. aut Rodríguez, R. aut Salgado, P. aut Enthalten in Advances in computational mathematics Springer US, 1993 42(2016), 4 vom: 25. Jan., Seite 757-789 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:42 year:2016 number:4 day:25 month:01 pages:757-789 https://doi.org/10.1007/s10444-015-9441-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_4266 GBV_ILN_4323 AR 42 2016 4 25 01 757-789 |
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10.1007/s10444-015-9441-0 doi (DE-627)OLC2075630089 (DE-He213)s10444-015-9441-0-p DE-627 ger DE-627 rakwb eng 510 VZ Bermúdez, A. verfasserin aut A transient eddy current problem on a moving domain. Numerical analysis 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2015 Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. Electromagnetic forming Transient eddy current problem Axisymmetric problem Degenerate parabolic problem Moving domain Finite elements Muñoz-Sola, R. aut Reales, C. aut Rodríguez, R. aut Salgado, P. aut Enthalten in Advances in computational mathematics Springer US, 1993 42(2016), 4 vom: 25. Jan., Seite 757-789 (DE-627)165684380 (DE-600)1164256-7 (DE-576)038869179 1019-7168 nnns volume:42 year:2016 number:4 day:25 month:01 pages:757-789 https://doi.org/10.1007/s10444-015-9441-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_4266 GBV_ILN_4323 AR 42 2016 4 25 01 757-789 |
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Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. © Springer Science+Business Media New York 2015 |
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Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. © Springer Science+Business Media New York 2015 |
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Abstract The aim of this paper is to introduce and analyze a numerical method to solve a transient eddy current problem which arises from the modeling of electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. This paper is the sequel of Bermúdez et al. (SIAM J. Math. Anal. 45, 3629–3650, 2013), where a weak formulation of this problem was proved to be well posed and additional regularity of the solution was also established. In the present paper, we propose a finite element method in space combined with a backward Euler time scheme for its numerical solution. We obtain error estimates and report numerical results which allow us to assess the performance of the proposed method. © Springer Science+Business Media New York 2015 |
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A transient eddy current problem on a moving domain. Numerical analysis |
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Muñoz-Sola, R. Reales, C. Rodríguez, R. Salgado, P. |
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