Domain decomposition methods can perform poorly on Advection- Diffusion equations if diffusion is dominated by advection. Indeed, the hyperpolic part of the equations could affect the behaviour of iterative schemes among subdomains slowing down dramatically their rate of convergence. Taking into account the direction of the characteristic lines we introduce suitable adaptive alghorithms which are stable with respect to the coefficient in the equations and very effective on model linear boundary value problems.

Back to Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations Table of Contents