Combinatorics on words in one dimension is a well-studied subfield of theoretical computer science with its origins in the early 20th century. However, the closely-related study of twodimensional words is not as popular, even though many results seem naturally extendable from the one-dimensional case. This thesis investigates various properties of these twodimensional words. In the early 1960s,...

Concerning thin structures such as plates and shells, the idea of reducing the equations of elasticity to twodimensional models defined on the mid-surface seems relevant. Such a reduction was first performed thanks to kinematical hypotheses about the transformation of normal lines to the mid-surface. As nowadays, the asymptotic expansion of the displacement solution of the three-dimensional lin...

the purpose of this paper is to investigate the egm method and the behavior of a solid particle suspended in a twodimensional rectangular cavity due to conjugate natural convection. a thermal lattice boltzmann bgk model is implemented to simulate the two dimensional natural convection and the particle phase was modeled using the lagrangian–lagrangian approach where the solid particles are treat...

Aim . To assess the local influence of intracranial hemorrhages various types on postmortem cranioencephalic temperature by means finite element modeling field head. Methods The geometry and heat exchange human head anatomical structures were simulated using ELCUT 6.5 software application based method, both in absence presence meningeal intraventricular hemorrhages. Results A twodimensional mod...

We develop a model for the parallel performance of algorithms that consist of concurrent, twodimensional wavefronts implemented in a message pas sing environment. The modelmbased on a LogGP machine parametrization, combines the separate contributions of computation and communication wavefronts. We validate the model on three important supercomputer systems, on up to 500 processors. We use data ...

In this work, we develop a parallel minimum action method for small random perturbations of Navier–Stokes equations to solve the optimization problem given by the large deviation theory. The Freidlin–Wentzell action functional is discretized by hp finite elements in time direction and spectral methods in physical space. A simple diagonal preconditioner is constructed for the nonlinear conjugate...

We show existence of strong solutions to the steady-state, twodimensional exterior problem for a class of shear-thinning liquids –where shear viscosity is a suitable decreasing function of shear rate– for data of arbitrary size. Notice that the analogous problem is, to date, open for liquids governed by the Navier-Stokes equations, where viscosity is constant. Two important features of this wor...

In this paper, a solution-adaptive algorithm is presented for the simulation of incompressible viscous flows. The framework of this method consists of an adaptive local stencil refinement algorithm and 3-points central difference discretization. The adaptive local stencil refinement is designed in such a manner that 5-points symmetric stencil is guaranteed at each interior node, so that convent...