Domain decomposition methods are powerful numerical techniques used to solve partial differential equations (PDEs) by breaking down a large problem into smaller, more manageable subproblems. This ...

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

A nonoverlapping domain decomposition iterative procedure is developed and analyzed for generalized Stokes problems and their finite element approximate problems in RN (N=2,3). The method is based on ...