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10−2 C k h b10−4 − b k 10−6
[1] C. Amrouche, C. Bernardi, M. Dauge, and V. Girault. Vector potentials in threedimensional nonsmooth domains. Math. Meth. Appl. Sci., 21:823864, 1998.
[2] F. Armero and J.C. Simo. Longterm dissipativity of timestepping algorithms for an abstract evolution equation with applications to the incompressible MHD and NavierStokes equations. Comput. Methods Appl. Mech. Engrg., 131:4190, 1996.
[3] D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39:17491779, 2001.
[4] R. Berton. Magn´etohydrodynamique. Masson, 1991.
[5] S.C. Brenner. Poincar´eFriedrichs inequalities for piecewise H1−functions. SIAM J. Numer. Anal., 41:306324, 2003.
[6] F. Brezzi and M. Fortin. Mixed and hybrid finite element methods. In Springer Series in Computational Mathematics, volume 15. SpringerVerlag, New York, 1991.
[7] F. Brezzi and M. Fortin. A minimal stabilisation procedure for mixed finite element methods. Numer. Math., 89:457491, 2001.
[8] B. Cockburn, G. Kanschat, and D. Scho¨tzau. Local discontinuous Galerkin methods for the Oseen equations. Math. Comp., 73:569593, 2004.
[9] B. Cockburn, G. Kanschat, and D. Scho¨tzau. A locally conservative LDG method for the incompressible NavierStokes equations. Math. Comp., 74:10671095, 2005.