Sentence examples for auxiliary problems from inspiring English sources

Finally, auxiliary problems are discussed.

The given problem is solved on the superposition of two auxiliary problems under different boundary conditions.

The solutions of the auxiliary problems coincide once the inverse problem is solved.

The direct problem, as well as the auxiliary problems, required for the solution of the inverse problem with the CGM is formulated in terms of the Cartesian coordinates.

This approach is further implemented within a segmentation algorithm, which transforms the global constrained elastica problem into a sequence of analogous auxiliary problems that result from dividing the conduit and the elastica into segments limited by contacts.

In order to deal with this severely ill-posed inverse problem, we rewrite it as an optimization problem where a Kohn Vogelius-type functional measuring the misfit between the solutions of two auxiliary problems is minimized.

Then, an asymptotic form for this auxiliary problem is extracted.

The proposed numerical approach focuses on solving the former auxiliary problem.

One auxiliary problem contains information on the boundary measurement while the other one corresponds to the boundary excitation.

First, an exact transform solution for the auxiliary problem of multiple-zone (integer n > 1) surface tractions is obtained.

The pressure-based SIMPLE procedure was developed in a unification to solve the direct problem and the auxiliary problem.