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• W2024012989 abstract "This paper studies a new absolutely stabilized formulation for the Stokes problem that is a modification of the method of [13]. It is shown that the bilinear form is elliptic and continuous with respect to the H1-norm for the velocity and the L2-norm for the pressure. Optimal order error estimates for the finite element approximation of both the velocity and pressure in L2 are established, as well as one in H1 for the velocity. The formulation is nonsymmetric. We then introduce two symmetrized forms which retain ellipticity and continuity with respect to the same norm. It will be shown that the preconditioned conjugate gradient method and other existing iterative approaches can be applied with a convergence rate uniform in the number of unknowns. Also, modifications of other stabilized finite element methods are considered." @default.
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• W2024012989 date "1998-11-01" @default.
• W2024012989 modified "2023-10-18" @default.
• W2024012989 title "Stabilized finite element methods with fast iterative solution algorithms for the Stokes problem" @default.
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• W2024012989 doi "https://doi.org/10.1016/s0045-7825(98)00086-3" @default.
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