Adaptive method for solving boundary value problems for the Poisson equation with rapidly changing potential

The adaptive grid method is used for solving boundary value problem for the Poisson equation. This method can significantly reduce the number of grid nodes in case of a drastic change of desired solution in some sub-regions of the computational domain. This article describes general criteria for evaluation of the sub-domains with a drastic change in the solution, and the algorithm for constructing a Cartesian grid with local refinement in accordance with specified criteria. Bibliogr. 25. Il. 5. Tables 2.