THE FEATURES OF PIECEWISE LINEAR APPROXIMATION AT NUMERICAL SOLUTION OF TW0-DIMENSIONAL BOUNDARY VALUE PROBLEMS
Keywords:
piecewise linear approximation, Dirichlet problem, electromagnetic field, Delaunay triangulationAbstract
The features of piecewise linear approximation of numerical solutions to boundary value problems of mathematical physics are studied. In this case, systems of equations arise that depend on the mesh of triangles. A condition has been found for the kernel of the problem, the fulfillment of which is sufficient for the optimal mesh to be the Delaunay triangulation. The results are illustrated by examples of numerical solutions of field problems for electromagnetic systems with magnetorheological fluid.
