Creusé, Emmanuel; Nicaise, Serge; Sabariego, Ruth V. Existence results for the \(\mathbf{A}-\varphi-\mathbf{B}\) magnetodynamic formulation of the Maxwell system with skin and proximity effects. (English) Zbl 1504.35519 Appl. Anal. 101, No. 8, 3103-3121 (2022). MSC: 35Q60 78A25 78A55 35D30 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{E. Creusé} et al., Appl. Anal. 101, No. 8, 3103--3121 (2022; Zbl 1504.35519) Full Text: DOI
Creusé, Emmanuel; Le Menach, Yvonnick; Nicaise, Serge; Piriou, Francis; Tittarelli, Roberta Two guaranteed equilibrated error estimators for harmonic formulations in eddy current problems. (English) Zbl 1442.78004 Comput. Math. Appl. 77, No. 6, 1549-1562 (2019). MSC: 78A35 78M10 PDFBibTeX XMLCite \textit{E. Creusé} et al., Comput. Math. Appl. 77, No. 6, 1549--1562 (2019; Zbl 1442.78004) Full Text: DOI HAL
Chen, Chao; Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation. (English) Zbl 1352.78015 Int. J. Numer. Methods Eng. 107, No. 5, 377-394 (2016). MSC: 78M10 65N30 65N15 78A30 PDFBibTeX XMLCite \textit{C. Chen} et al., Int. J. Numer. Methods Eng. 107, No. 5, 377--394 (2016; Zbl 1352.78015) Full Text: DOI HAL
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system. (English) Zbl 1309.35158 Math. Methods Appl. Sci. 38, No. 4, 738-750 (2015). MSC: 35Q61 65M15 65M60 78M10 PDFBibTeX XMLCite \textit{E. Creusé} et al., Math. Methods Appl. Sci. 38, No. 4, 738--750 (2015; Zbl 1309.35158) Full Text: DOI HAL
Tang, Zuqi; Le Menach, Yvonnick; Creuse, Emmanuel; Nicaise, Serge; Piriou, Francis; Nemitz, Nicolas A posteriori error estimator for harmonic A-\(\phi\) formulation. (English) Zbl 1358.78072 COMPEL 32, No. 4, 1219-1229 (2013). MSC: 78M10 65N30 65N15 78A25 PDFBibTeX XMLCite \textit{Z. Tang} et al., COMPEL 32, No. 4, 1219--1229 (2013; Zbl 1358.78072) Full Text: DOI
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi; Le Menach, Yvonnick; Nemitz, Nicolas; Piriou, Francis Residual-based a posteriori estimators for the \(\mathbf{A} - \varphi\) magnetodynamic harmonic formulation of the Maxwell system. (English) Zbl 1238.35151 Math. Models Methods Appl. Sci. 22, No. 5, 1150028, 30 p. (2012). MSC: 35Q61 65N30 65N15 65N50 78M10 PDFBibTeX XMLCite \textit{E. Creusé} et al., Math. Models Methods Appl. Sci. 22, No. 5, 1150028, 30 p. (2012; Zbl 1238.35151) Full Text: DOI