Generation of 3D grids by approximate factorization (Q1841141)

The author uses systems of elliptic partial differential equations to construct three-dimensional grids and proposes an efficient method for solving boundary-value problem for a system of second-order quasi-linear equations. The domains have arbitrary shape with curvilinear boundaries. For this reason it is difficult to approximate the boundary conditions with a simple uniform grid, so the grids can be adjusted to increase or to reduce the concentration of points inside the domain and on its boundary. Calculation results are presented for a prototype domain.