Stabilization methods of bubble type for the -element applied to the incompressible Navier-Stokes equations
A modified streamline diffusion method for solving the stationary Navier-Stokes equation.
Stabilization methods of bubble type for the -element applied to the incompressible Navier-Stokes equations
In this paper, a general technique is developed to enlarge the velocity space of the unstable -element by adding spaces such that for the extended pair the Babuska-Brezzi condition is satisfied. Examples of stable elements which can be derived in such a way imply the stability of the well-known -element and the 4-element. However, our new elements are much more cheaper. In particular, we shall see that more than half of the additional degrees of freedom when switching from the ...
A unified convergence analysis for local projection stabilisations applied to the Oseen problem
The discretisation of the Oseen problem by finite element methods may suffer in general from two shortcomings. First, the discrete inf-sup (Babuška-Brezzi) condition can be violated. Second, spurious oscillations occur due to the dominating convection. One way to overcome both difficulties is the use of local projection techniques. Studying the local projection method in an abstract setting, we show that the fulfilment of a local inf-sup condition between approximation and projection spaces...
An enclosure generating modification of the method of discretization in time
Analysis of a mathematical model related to Czochralski crystal growth.
Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions.
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