Domain decomposition methods constitute a fundamental strategy in numerical analysis, enabling the partitioning of large and complex computational problems into smaller, more manageable sub-problems.

The Helmholtz equation, a cornerstone in mathematical physics, models wave propagation phenomena in acoustics, electromagnetism and seismic imaging. Its inherent computational challenges—particularly ...

Mathematics of Computation, Vol. 71, No. 239 (Jul., 2002), pp. 1105-1135 (31 pages) We analyze the convergence rate of an asynchronous space decomposition method for constrained convex minimization in ...