The effect of temperature in viscoelastic fluid flows is studied applying a stabilized finite element formulation based on both standard and log-conformation reformulation (LCR), the Variational Multiscale (VMS) method as stabilization technique. turns out to be crucial solve cases with high Weissenberg number. Regarding coupling, two-way coupling strategy employed: one hand, dependence paramet...

In the present study, we integrated two recent, at first sight contradictory findings regarding the question whether saccadic eye movements can be generated to a newly presented target during an ongoing hand movement. Saccades were measured during so-called adaptive and sustained pointing conditions. In the adapted pointing condition, subjects had to direct both their gaze and arm movements to ...

In this paper, we formulate a two-way interfacial condition for simulating lattice dynamics in one space dimension. With a time history treatment, the incoming waves are incorporated into the motion of the boundary atoms accurately. This condition reduces to the absorbing boundary condition when there is no incoming wave. Numerical tests validate the effectiveness of the proposed condition in t...

Flexural wave propagation in an Euler–Bernoulli beam coupled to a set of spring–mass resonators is investigated in the presence of a pump wave in the form of a space–time modulation of the beamresonators coupling stiffness. A phase matching condition implies then that waves incident along or against the pump wave behave differently and gives rise in select frequency bands to one-way blocking an...

Path algebras are a convenient way of describing decompositions tensor powers an object in category. If the category is braided, one obtains representations braid groups $B_n$ for all $n\in \N$. We say that such rigid if they determined by path algebra and $B_2$. show besides known classical cases also 7-dimensional representation $G_2$ satisfies rigidity condition, provided $B_3$ generates $\E...

Let T and T̃ = T −E be arbitrary nonnegative, irreducible, stochastic matrices corresponding to two ergodic Markov chains on n states. A function κ is called a condition number for Markov chains with respect to the (α, β)–norm pair if ‖π − π̃‖α ≤ κ(T )‖E‖β . Here π and π̃ are the stationary distribution vectors of the two chains, respectively. Various condition numbers, particularly with respect t...

In this paper we present a review of some of the methods currently used for solving the absorbing boundary problem for the two-dimensional scalar wave equation. We show the relationship between the methods of Lindman and Clayton and Engquist. Through this relationship we can derive discretizations of any rational approximation to the one-way wave equation. We prove that, for all the cases consi...

The Lax-Friedrichs (LxF) method [2, 3, 4] is a basic method for the solution of hyperbolic partial differential equations (PDEs). Its use is limited because its order is only one, but it is easy to program, applicable to general PDEs, and has good qualitative properties because it is monotone. The LxF method is often used to show the effects of dissipation, but it is not actually a dissipative ...