Adaptive domain-decomposition methods for two-dimensional, time-dependent reaction-diffusion equations in nongraded meshes (Q979539)

Summary: An adaptive static grid refinement procedure in the propagation direction and several overlapping domain decomposition techniques based on symmetric and nonsymmetric Dirichlet and Dirichlet-Neumann cycles and a nonsymmetric Neumann cycle are used to study the propagation of reacting waves in two-dimensional rectangular regions of long-aspect ratio by means of finite difference methods in nonquasi-uniform, i.e., nongraded, meshes, and it is shown that both the accuracy and the convergence of overlapping techniques depend on, but are not monotonic functions of the number of overlapping grid lines or the overlapping distance.