Moreover, further examples from Section 6 show that our frame also covers conforming AFEM for non-symmetric problems [17,18,49], linear elasticity [30,50,51], and different formulations of the Stokes problem [50 55].
We performed three sets of experiments, in order to compare the different methods in different settings and to test different formulations of the GNA problem.
In Section 5, these axioms are met for different formulations of the Poisson model problem and allow to reproduce and even improve the state-of-the-art results from the literature for conforming AFEM [14,15], nonconforming AFEM [20,22,25,28], mixed AFEM [19,29,31], and ABEM for weakly-singular [32 35] and hyper-singular integral equations [33,36].
To demonstrate the effects of the DG approach to shell problems two different formulations of the elements themselves are considered, one with equal order approximations for displacement and stresses and the other with modified stresses (used in continuous finite element approach to eliminate locking).
These proposed general noise SVR models use a different cost function and hence a different formulation of the optimization problem from the one applied in classical (epsilon -SVR.
Making use of classical results from global pairwise alignment we show how a different formulation of the alignment problem can map sequences to a feature space of insertions, deletions and substitutions and gives rise to a pd kernel.
There were six different formulations of the table in the 1860s.
The augmented Lagrangian approach leads to a different formulation of the variational data assimilation problem than the weakly constrained 4D-Var.
The paper deals with different formulations of optimization problems on bucking of multi-layered composite cylindrical shells under axial compression.
