The Helmholtz equation, a cornerstone in mathematical physics, models wave propagation phenomena in acoustics, electromagnetism and seismic imaging. Its inherent computational challenges—particularly ...
We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, ...
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 ...