Ern, Alexandre; Guermond, Jean-Luc Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. (English) Zbl 1401.65132 Comput. Methods Appl. Math. 18, No. 3, 451-475 (2018). MSC: 65N30 65N12 76R50 35Q61 PDFBibTeX XMLCite \textit{A. Ern} and \textit{J.-L. Guermond}, Comput. Methods Appl. Math. 18, No. 3, 451--475 (2018; Zbl 1401.65132) Full Text: DOI HAL
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan From suitable weak solutions to entropy viscosity. (English) Zbl 1432.76080 J. Sci. Comput. 49, No. 1, 35-50 (2011). MSC: 76D05 35D30 35Q30 PDFBibTeX XMLCite \textit{J.-L. Guermond} et al., J. Sci. Comput. 49, No. 1, 35--50 (2011; Zbl 1432.76080) Full Text: DOI
Guermond, Jean-Luc On the use of the notion of suitable weak solutions in CFD. (English) Zbl 1140.76365 Int. J. Numer. Methods Fluids 57, No. 9, 1153-1170 (2008). MSC: 76M10 76D05 76F65 PDFBibTeX XMLCite \textit{J.-L. Guermond}, Int. J. Numer. Methods Fluids 57, No. 9, 1153--1170 (2008; Zbl 1140.76365) Full Text: DOI
Guermond, J.-L. Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. (English) Zbl 1122.35094 J. Math. Pures Appl. (9) 88, No. 1, 87-106 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 65N30 76N10 76M10 PDFBibTeX XMLCite \textit{J. L. Guermond}, J. Math. Pures Appl. (9) 88, No. 1, 87--106 (2007; Zbl 1122.35094) Full Text: DOI
Guermond, J.-L.; Prudhomme, S. On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation. (English) Zbl 1078.35086 Physica D 207, No. 1-2, 64-78 (2005). MSC: 35Q30 76F35 65N35 PDFBibTeX XMLCite \textit{J. L. Guermond} and \textit{S. Prudhomme}, Physica D 207, No. 1--2, 64--78 (2005; Zbl 1078.35086) Full Text: DOI
Guermond, Jean-Luc; Prudhomme, Serge Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. (English) Zbl 1070.76035 M2AN, Math. Model. Numer. Anal. 37, No. 6, 893-908 (2003). MSC: 76F65 76M22 35Q30 76D03 PDFBibTeX XMLCite \textit{J.-L. Guermond} and \textit{S. Prudhomme}, M2AN, Math. Model. Numer. Anal. 37, No. 6, 893--908 (2003; Zbl 1070.76035) Full Text: DOI Numdam EuDML
Guermond, J. L.; Oden, J. T.; Prudhomme, S. An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization. (English) Zbl 1082.35120 Physica D 177, No. 1-4, 23-30 (2003). MSC: 35Q30 PDFBibTeX XMLCite \textit{J. L. Guermond} et al., Physica D 177, No. 1--4, 23--30 (2003; Zbl 1082.35120) Full Text: DOI