Sentence examples for the interior problem from inspiring English sources
This basis is used to construct the influence matrix which serves to transform the coupled boundary conditions into conditions on the interior problem.
In this paper such a formula, obtained originally by Morgans for the interior problem, is derived for regions exterior to surfaces moving at speeds below the wave propagation speed, by making use of some results of generalized function theory.
These are then used as the source terms for a scalar-potential finite-difference code capable of solving the interior problem at an enhanced resolution, yet with a similar computational load.
The problem of reconstructing a ROI embedded in a wider object is called the interior problem.
Theoretical investigations, however, found that, with a prior knowledge on region of interest, the interior problem can be solved [6].
The interior problem has infinitely many solutions in general, in the sense that a solution can differ from another solution by an infinitely differentiable function [3].
The strip, Mr Michaelis writes, "was about people working out the interior problems of their daily lives without ever actually solving them".
The DDM decouples the interior problems, that correspond to the solution of Maxwell's equations inside each subdomain and are formulated by using a finite element method, from the exterior problem solved by employing the IE. It has been shown that the solutions of this DDM algorithm converge to those of the original problem.
Then the elasticity solution to the formulated interior problem is presented in terms of mid-surface variables so that it takes a form similar to conventional engineering plate theories.
Then the exact general 3D elasticity solution to the formulated interior problem is examined.
However, CHIEF points placed on or near a nodal surface of the corresponding interior problem do not provide a linearly independent constraint, and the problem of selecting "good" CHIEF points is still a topic of considerable interest.
