Domeneoppdeling

Domeneoppdeling, or domain decomposition, is a numerical method used to solve large systems of equations, particularly those arising from the discretization of partial differential equations. The core idea is to divide a large computational domain into smaller, more manageable subdomains. These subdomains are then solved independently, or in an iterative fashion, with appropriate communication or coupling between them to ensure the overall solution is consistent.

This approach is highly effective for parallel computing environments. By distributing the subdomains across multiple processors, the computational load can be shared, significantly speeding up the solution process for complex problems. Different strategies exist for domain decomposition, including additive Schwarz methods, overlapping Schwarz methods, and non-overlapping methods. The choice of method often depends on the specific problem, the desired accuracy, and the parallel architecture being used. Domain decomposition is widely applied in fields such as computational fluid dynamics, structural analysis, and electromagnetics, where the underlying mathematical models often lead to very large systems of equations.