Subspace correction methods for nonsymmetric parabolic problems (Q5946184)

A convergence result for general subspace correction techniques applied to an abstract nonsymmetric parabolic problem is obtained. One of the main concerns is to give a unified convergence analysis for domain decomposition and multigrid methods for parabolic problems. The algorithms can be applied to domain decomposition methods with or without the coarse mesh. A relation between the coarse mesh size and the time step is needed to get a convergence rate independent of the mesh. Some numerical experiments are presented for domain decomposition methods with minimum overlap which support the theoretical predictions.