On the finite volume approach to the 3D quasistructured grids

The finite volume methods and technologies for the solution of the 3D elliptic boundary value problems (BVPs), with a complex geometry, on the quasistrucured grids are proposed. The grid data structure and the element-by-element approach for computing the local balance and assembling the global matrices are considered. The results of numerical experiments, obtained with the help of the preconditioned conjugate gradient algorithm, demonstrate the efficiency of the pro¬posed technologies.