General Considerations

Abstract

An important element of the numerical solution of partial differential equations by finite-element or finite-difference methods on general regions is a grid which represents the physical domain in a discrete form. In fact, the grid is a preprocessing tool or a foundation on which physical, continuous quantities are described by discrete functions and on which the differential equations are approximated by algebraic relations for discrete values that are then numerically analyzed by the application of computational codes. The grid technique also has the capacity, based on an appropriate distribution of the grid points, to enhance the computational efficiency of the numerical solution of complex problems.