Sentence examples for relying on the solution from inspiring English sources

Based on this result an error estimator and mesh adaptation indicator is proposed for functionals, relying on the solution of an adjoint problem.

The method relies on the solution of a solute conservation equation and an equation for the propagation of the phase field on the scale of the developing microstructure.

Traditional uncoupled inversion relies on the solution of two sequential inverse problems, the first one applied to the ERT measurements, the second one to Richards equation.

Design and simulation of borehole heat exchangers rely on the solution of the transient conduction equation.

The proposed frame constructions, which are based on signature matrices, rely on the solution of a structured inverse eigenvalue problem.

As far as we know, previous results on the synthesis of PID controllers rely on the solution of transcendental equations.

Our a posteriori error estimator relies on the solution of small discrete problems on anisotropic cylindrical stars.

The Generalized Predictive Control (GPC) algorithm relies on the solution of an optimization problem at every sampling period.

However, this shaping relies on the solution of a partial differential equation, which becomes difficult for multi-output systems.

Our implementation relies on the solution of several pure convection problems along the interface in order to obtain the relevant information.

The new method offers flexibility in terms of how an "optimal" point distribution should be defined, and relies on the solution of two-dimensional surface convection problems.