Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems. (English) Zbl 07741341 Comput. Math. Appl. 146, 323-338 (2023). MSC: 65N30 65N15 65N50 35J25 74S05 PDFBibTeX XMLCite \textit{E. Creusé} et al., Comput. Math. Appl. 146, 323--338 (2023; Zbl 07741341) Full Text: DOI
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; Dular, Patrick; Nicaise, Serge About the gauge conditions arising in finite element magnetostatic problems. (English) Zbl 1442.78003 Comput. Math. Appl. 77, No. 6, 1563-1582 (2019). MSC: 78A30 65N30 PDFBibTeX XMLCite \textit{E. Creusé} et al., Comput. Math. Appl. 77, No. 6, 1563--1582 (2019; Zbl 1442.78003) Full Text: DOI HAL
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
Creusé, Emmanuel; Nicaise, Serge; Tittarelli, Roberta A guaranteed equilibrated error estimator for the \(\mathbf{A}-\varphi\) and \(\mathbf{T}-\Omega\) magnetodynamic harmonic formulations of the Maxwell system. (English) Zbl 1433.76078 IMA J. Numer. Anal. 37, No. 2, 750-773 (2017). MSC: 76M10 65N30 65N15 76W05 78A25 PDFBibTeX XMLCite \textit{E. Creusé} et al., IMA J. Numer. Anal. 37, No. 2, 750--773 (2017; Zbl 1433.76078) Full Text: DOI
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, E.; Farhloul, M.; Nicaise, S.; Paquet, L. A posteriori error estimates of the stabilized Crouzeix-Raviart finite element method for the Lamé-Navier equations. (English) Zbl 1312.65188 Far East J. Math. Sci. (FJMS) 96, No. 2, 167-192 (2015). MSC: 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{E. Creusé} et al., Far East J. Math. Sci. (FJMS) 96, No. 2, 167--192 (2015; Zbl 1312.65188) Full Text: DOI Link
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
Creusé, Emmanuel; Nicaise, Serge; Tittarelli, Roberta Space-time residual-based a posteriori estimators for the \(A - \varphi\) magnetodynamic formulation of the Maxwell system. (English) Zbl 1304.35669 Comput. Methods Appl. Math. 14, No. 4, 429-460 (2014). MSC: 35Q61 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{E. Creusé} et al., Comput. Methods Appl. Math. 14, No. 4, 429--460 (2014; Zbl 1304.35669) Full Text: DOI
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, E.; Nicaise, S.; Verhille, Emmanuel Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system. (English) Zbl 1282.74051 J. Numer. Math. 21, No. 2, 89-133 (2013). MSC: 74K20 74S05 65N30 65N15 65N25 PDFBibTeX XMLCite \textit{E. Creusé} et al., J. Numer. Math. 21, No. 2, 89--133 (2013; Zbl 1282.74051) Full Text: DOI
Creusé, Emmanuel; Nicaise, Serge; Tang, Zuqi; Le Menach, Yvonnick; Nemitz, Nicolas; Piriou, Francis Residual-based a posteriori estimators for the \(T/ \Omega\) magnetodynamic harmonic formulation of the Maxwell system. (English) Zbl 1264.65190 Int. J. Numer. Anal. Model. 10, No. 2, 411-429 (2013). MSC: 65N30 35Q61 76W05 76M10 65N15 65N50 PDFBibTeX XMLCite \textit{E. Creusé} et al., Int. J. Numer. Anal. Model. 10, No. 2, 411--429 (2013; Zbl 1264.65190) Full Text: Link
Creusé, Emmanuel; Nicaise, Serge A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods. (English) Zbl 1267.65163 IMA J. Numer. Anal. 33, No. 1, 212-241 (2013). Reviewer: K. N. Shukla (Gurgaon) MSC: 65N15 65N30 35J60 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, IMA J. Numer. Anal. 33, No. 1, 212--241 (2013; Zbl 1267.65163) Full Text: DOI arXiv
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
Uystepruyst, David; William-Louis, Mame; Creusé, Emmanuel; Nicaise, Serge; Monnoyer, François Efficient 3D numerical prediction of the pressure wave generated by high-speed trains entering tunnels. (English) Zbl 1271.76295 Comput. Fluids 47, No. 1, 165-177 (2011). MSC: 76N15 76M12 PDFBibTeX XMLCite \textit{D. Uystepruyst} et al., Comput. Fluids 47, No. 1, 165--177 (2011; Zbl 1271.76295) Full Text: DOI Link
Creusé, Emmanuel; Nicaise, Serge; Verhille, Emmanuel Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system. (English) Zbl 1235.74212 Calcolo 48, No. 4, 307-335 (2011). MSC: 74K20 65M60 65M15 65M50 PDFBibTeX XMLCite \textit{E. Creusé} et al., Calcolo 48, No. 4, 307--335 (2011; Zbl 1235.74212) Full Text: DOI arXiv
Creusé, Emmanuel; Nicaise, Serge A posteriori error estimators based on gradient reconstructions for discontinuous Galerkin methods. (Estimateurs d’erreur a posteriori basés sur des reconstructions de gradients pour des méthodes de Galerkin discontinues.) (French) Zbl 1308.65195 Dogbe, Christian (ed.) et al., Actes des colloques “EDP-Normandie”, Caen 2010 – Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-0-6/pbk). Normandie-Mathématiques, 67-70 (2010). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, in: Actes des colloques ``EDP-Normandie'', Caen 2010 -- Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques. 67--70 (2010; Zbl 1308.65195)
Creusé, Emmanuel; Nicaise, Serge A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods. (English) Zbl 1197.65174 J. Comput. Appl. Math. 234, No. 10, 2903-2915 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, J. Comput. Appl. Math. 234, No. 10, 2903--2915 (2010; Zbl 1197.65174) Full Text: DOI Link
Creusé, Emmanuel; Nicaise, Serge A posteriori error estimations of a coupled mixed and standard Galerkin method for second order operators. (English) Zbl 1145.65087 J. Comput. Appl. Math. 213, No. 1, 35-55 (2008). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, J. Comput. Appl. Math. 213, No. 1, 35--55 (2008; Zbl 1145.65087) Full Text: DOI
Creusé, Emmanuel; Nicaise, Serge Discrete compactness for a discontinuous Galerkin approximation of Maxwell’s system. (English) Zbl 1112.78020 ESAIM, Math. Model. Numer. Anal. 40, No. 2, 413-430 (2006). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65M60 83C22 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, ESAIM, Math. Model. Numer. Anal. 40, No. 2, 413--430 (2006; Zbl 1112.78020) Full Text: DOI Numdam EuDML
Nicaise, Serge; Creusé, Emmanuel Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form. (English) Zbl 1112.65111 ETNA, Electron. Trans. Numer. Anal. 23, 38-62 (2006). MSC: 65N15 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{E. Creusé}, ETNA, Electron. Trans. Numer. Anal. 23, 38--62 (2006; Zbl 1112.65111) Full Text: EuDML Link
Creusé, Emmanuel; Nicaise, Serge Anisotropic ‘a posteriori’ error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem. (English) Zbl 1091.65110 Numer. Methods Partial Differ. Equations 22, No. 2, 449-483 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, Numer. Methods Partial Differ. Equations 22, No. 2, 449--483 (2006; Zbl 1091.65110) Full Text: DOI
Creusé, E.; Nicaise, S.; Kunert, G. A posteriori error estimation for the Stokes problem: Anisotropic and isotropic discretizations. (English) Zbl 1071.65142 Math. Models Methods Appl. Sci. 14, No. 9, 1297-1341 (2004). Reviewer: Volker John (Saarbrücken) MSC: 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{E. Creusé} et al., Math. Models Methods Appl. Sci. 14, No. 9, 1297--1341 (2004; Zbl 1071.65142) Full Text: DOI
Nicaise, S.; Creusé, E. A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes. (English) Zbl 1168.65381 Calcolo 40, No. 4, 249-271 (2003). MSC: 65M15 78M10 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{E. Creusé}, Calcolo 40, No. 4, 249--271 (2003; Zbl 1168.65381) Full Text: DOI