Sentence examples for numerical obstacles from inspiring English sources

However, in the realistic ion-channel context, no second-order convergent PNP algorithm has ever been reported in the literature, due to many numerical obstacles, including discontinuous coefficients, singular charges, geometric singularities, and nonlinear couplings.

The general framework we develop also enables us to design a new numerical method for the obstacle and Signorini problems, based on hybrid mimetic mixed schemes.

Let û be the numerical solution of an obstacle problem.

This implies that the numerical solutions of the obstacle problem are underestimated.

Figure 7 The nodal values of the local pressure coefficient - exact ( cp ) and numerical ( Cp ) solution; elliptical obstacle; 36 nodes.

In this article, we consider accuracy-efficiency issues and their remedies for the numerical solution of elliptic obstacle problems.

Figure 3 The nodal values of the local pressure coefficient - exact ( cp ) and numerical ( Cp ) solution; circular obstacle; (a) 30 nodes; (b) 45 nodes.

Figure 5 The nodal values of the velocity component along Ox axis - exact ( vx ) and numerical ( Ux ) solution; elliptical obstacle; 36 nodes.

Figure 6 The nodal values of the velocity component along Oy axis - exact ( vy ) and numerical ( Uy ) solution; elliptical obstacle; 36 nodes.

Figure 2 The nodal values of the velocity component along Oy axis - exact ( vy ) and numerical ( Uy ) solution; circular obstacle; (a) 30 nodes; (b) 45 nodes.

The above example has motivated the authors to develop an effective numerical algorithm for elliptic obstacle problems in 2D which detects the neighboring set of the free boundary, determines the subgrid proportions (r's), and updates the solution for an improved accuracy using subgrid FD schemes.