Apel, Thomas; Nicaise, Serge Regularity of the solution of the scalar Signorini problem in polygonal domains. (English) Zbl 1443.35017 Result. Math. 75, No. 2, Paper No. 75, 15 p. (2020). Reviewer: Wenhui Shi (Heidelberg) MSC: 35B65 49N60 35J25 35J86 35B40 PDFBibTeX XMLCite \textit{T. Apel} and \textit{S. Nicaise}, Result. Math. 75, No. 2, Paper No. 75, 15 p. (2020; Zbl 1443.35017) Full Text: DOI arXiv
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
Chaumont-Frelet, Théophile; Nicaise, Serge; Pardo, David Finite element approximation of electromagnetic fields using nonfitting meshes for geophysics. (English) Zbl 1397.65231 SIAM J. Numer. Anal. 56, No. 4, 2288-2321 (2018). Reviewer: Carlos A. De Moura (São Joã del-Rei) MSC: 65N12 65N15 65N30 35Q61 PDFBibTeX XMLCite \textit{T. Chaumont-Frelet} et al., SIAM J. Numer. Anal. 56, No. 4, 2288--2321 (2018; Zbl 1397.65231) Full Text: DOI
Nicaise, Serge; Ahounou, Bernardin; Houedanou, Wilfrid Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: isotropic discretization. (English) Zbl 1386.74140 Afr. Mat. 27, No. 3-4, 701-729 (2016). MSC: 74S05 74S10 74S15 74S20 74S25 74S30 PDFBibTeX XMLCite \textit{S. Nicaise} et al., Afr. Mat. 27, No. 3--4, 701--729 (2016; Zbl 1386.74140) 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, 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
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
Nicaise, Serge; Renard, Yves; Chahine, Elie Optimal convergence analysis for the extended finite element method. (English) Zbl 1216.74029 Int. J. Numer. Methods Eng. 86, No. 4-5, 528-548 (2011). MSC: 74S05 65N15 65N30 74B05 PDFBibTeX XMLCite \textit{S. Nicaise} et al., Int. J. Numer. Methods Eng. 86, No. 4--5, 528--548 (2011; Zbl 1216.74029) Full Text: DOI
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
Nicaise, Serge; Cochez-Dhondt, Sarah Adaptive finite element methods for elliptic problems: abstract framework and applications. (English) Zbl 1191.65158 ESAIM, Math. Model. Numer. Anal. 44, No. 3, 485-508 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N50 35J25 65N12 34G10 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{S. Cochez-Dhondt}, ESAIM, Math. Model. Numer. Anal. 44, No. 3, 485--508 (2010; Zbl 1191.65158) Full Text: DOI EuDML
Farhloul, M.; Nicaise, S.; Paquet, L. A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem. (English) Zbl 1166.76027 Numer. Methods Partial Differ. Equations 25, No. 4, 843-869 (2009). MSC: 76M10 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{M. Farhloul} et al., Numer. Methods Partial Differ. Equations 25, No. 4, 843--869 (2009; Zbl 1166.76027) Full Text: DOI
Cochez-Dhondt, Sarah; Nicaise, Serge Equilibrated error estimators for discontinuous Galerkin methods. (English) Zbl 1160.65056 Numer. Methods Partial Differ. Equations 24, No. 5, 1236-1252 (2008). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{S. Cochez-Dhondt} and \textit{S. Nicaise}, Numer. Methods Partial Differ. Equations 24, No. 5, 1236--1252 (2008; Zbl 1160.65056) Full Text: DOI
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
Cochez-Dhondt, Sarah; Nicaise, Serge Robust a posteriori error estimation for the Maxwell equations. (English) Zbl 1173.78317 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2583-2595 (2007). MSC: 78M10 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{S. Cochez-Dhondt} and \textit{S. Nicaise}, Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2583--2595 (2007; Zbl 1173.78317) Full Text: DOI
Hild, Patrick; Nicaise, Serge Residual a posteriori error estimators for contact problems in elasticity. (English) Zbl 1140.74024 ESAIM, Math. Model. Numer. Anal. 41, No. 5, 897-923 (2007). MSC: 74S05 74M15 74B05 65N15 65N30 PDFBibTeX XMLCite \textit{P. Hild} and \textit{S. Nicaise}, ESAIM, Math. Model. Numer. Anal. 41, No. 5, 897--923 (2007; Zbl 1140.74024) Full Text: DOI Numdam EuDML
Farhloul, M.; Nicaise, S.; Paquet, L. A posteriori error estimation for the dual mixed finite element method of the Stokes problem. (English) Zbl 1109.76035 Numer. Funct. Anal. Optimization 27, No. 7-8, 831-846 (2006). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{M. Farhloul} et al., Numer. Funct. Anal. Optim. 27, No. 7--8, 831--846 (2006; Zbl 1109.76035) Full Text: DOI
Nicaise, Serge On Zienkiewicz–Zhu error estimators for Maxwell’s equations. (English. Abridged French version) Zbl 1072.65142 C. R., Math., Acad. Sci. Paris 340, No. 9, 697-702 (2005). MSC: 65N15 65N30 35Q60 78A25 78M10 PDFBibTeX XMLCite \textit{S. Nicaise}, C. R., Math., Acad. Sci. Paris 340, No. 9, 697--702 (2005; Zbl 1072.65142) Full Text: DOI
Farhloul, Mohamed; Nicaise, Serge; Paquet, Luc A posteriori error estimation for the dual mixed finite element method of the Stokes problem. (English. Abridged French version) Zbl 1058.65119 C. R., Math., Acad. Sci. Paris 339, No. 7, 513-518 (2004). MSC: 65N15 35J25 35Q30 65N30 PDFBibTeX XMLCite \textit{M. Farhloul} et al., C. R., Math., Acad. Sci. Paris 339, No. 7, 513--518 (2004; Zbl 1058.65119) Full Text: DOI
Costabel, Martin; Dauge, Monique; Nicaise, Serge Singularities of eddy current problems. (English) Zbl 1170.35353 M2AN, Math. Model. Numer. Anal. 37, No. 5, 807-831 (2003). MSC: 35B65 35R05 35Q60 PDFBibTeX XMLCite \textit{M. Costabel} et al., M2AN, Math. Model. Numer. Anal. 37, No. 5, 807--831 (2003; Zbl 1170.35353) Full Text: DOI Numdam EuDML