Machiels, L.; Peraire, J.; Patera, A. T. A posteriori finite-element output bounds for the incompressible Navier-Stokes equations: Application to a natural convection problem. (English) Zbl 1002.76069 J. Comput. Phys. 172, No. 2, 401-425 (2001). MSC: 76M10 76D05 76R10 80A20 65N15 PDFBibTeX XMLCite \textit{L. Machiels} et al., J. Comput. Phys. 172, No. 2, 401--425 (2001; Zbl 1002.76069) Full Text: DOI
Machiels, L.; Maday, Y.; Patera, A. T. Output bounds for reduced-order approximations of elliptic partial differential equations. (English) Zbl 0984.65118 Comput. Methods Appl. Mech. Eng. 190, No. 26-27, 3413-3426 (2001). MSC: 65N30 65N12 65N15 35J25 80A20 80M10 PDFBibTeX XMLCite \textit{L. Machiels} et al., Comput. Methods Appl. Mech. Eng. 190, No. 26--27, 3413--3426 (2001; Zbl 0984.65118) Full Text: DOI
Machiels, L. A posteriori finite element bounds for output functionals of discontinuous Galerkin discretizations of parabolic problems. (English) Zbl 0984.65100 Comput. Methods Appl. Mech. Eng. 190, No. 26-27, 3401-3411 (2001). MSC: 65M60 65M15 35K15 80M10 80A20 PDFBibTeX XMLCite \textit{L. Machiels}, Comput. Methods Appl. Mech. Eng. 190, No. 26--27, 3401--3411 (2001; Zbl 0984.65100) Full Text: DOI