We consider a local optimization technique, where starting from a preliminary version of the grid under consideration, we try to improve the part of the grid that really needs this improvement. When this procedure is performed, the processed grids may result irregular, so a smoothing step must...

The contribution deals with heat equation in the form (cu+W[u])t=div(a·∇u)+f, where the nonlinear functional operator W[u] is a Prandtl–Ishlinskii hysteresis operator of play type characterized by a distribution function η. The spatially dependent initial boundary value problem is studied....

An iterative method for the parabolic Cauchy problem in planar domains having a finite number of corners is implemented based on boundary integral equations. At each iteration, mixed well-posed problems are solved for the same parabolic operator. The presence of corner points renders...

Two new second-order finite difference techniques based upon the classical 3-point backward time centered space (BTCS) method and the Crank–Nicolson scheme, and also a fourth-order finite difference scheme based on Crandall's method for one-dimensional diffusion, are used to solve the...