Sentence examples for problems posed on from inspiring English sources

When it is possible, the complex formulation of obtained results will allow one to extend - via conformal transformations - the number of problems posed on regions of more complicated shape and with a mixed setting of different kinds of boundary conditions.

We introduce an interface/coupling procedure for hyperbolic problems posed on time-dependent curved multi-domains.

In this paper, we consider a Cartesian PML approximation to resonance values of time-harmonic problems posed on unbounded domains in R2.

The original closest point method (CPM) was designed for problems posed on static surfaces, however the solution of PDEs on moving surfaces is of considerable interest as well.

The coefficients entering in these jump conditions can be related to the mechanical and geometrical parameters of the composite by solving two elastic problems posed on an infinite cracked strip.

Driven by the need to solve linear systems arising from problems posed on extremely large, unstructured grids, there has been a recent resurgence of interest in algebraic multigrid (AMG).

In [3], the author studied a similar problem posed on a bounded interval.

In Section 3, we use the change of variable (z={x_{3}}/{varepsilon}), to transform the initial problem posed in the domain (Omega^{varepsilon}) into a new problem posed on a fixed domain Ω independent of the parameter ε.

Accounting for translational invariance, the elastodynamic equations of prestressed helical structures yield a 2D problem posed on the cross-section, corresponding to a so-called semi-analytical finite element (SAFE) formulation.

Navier Stokes equations are semi-discretized in time by the Characteristic-Galerkin method, which finally leads to solve a generalized Stokes problem posed on a physical domain limited by the free surface to only a part of the computational grid.

Before discussing the extension of Sect. 3 to a finite two-dimensional domain with an imposed boundary condition it is first instructive to consider the problem posed on (mathbb{R}^{2}).