Abstract
The efficiency with which coordinate systems are chosen and resolvents are constructed is illustrated for the example of linear stress concentration near a curvilinear (elliptical) hole in a circular plate and in a spherical shell. A method is proposed for bunching the grid when solving these problems numerically by a variational-difference method. The rate of convergence of solutions on uniform and nonuniform grids is studied and the results are compared with analytic values. The proposed coordinate transformations are shown to provide a substantial improvement in the rate of convergence of the numerical results on linear (nonlinear) stress concentration near curvilinear holes.
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