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.

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 ...

We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

Abstract: Accurate simulation of the electromagnetic field in iron cores requires accounting for the hysteresis behavior of magnetic materials, which imposes higher requirements on the robustness and ...

The SOR iteration for solving linear systems of equations depends upon an overrelaxation factor ω was given by Young ("Iterative methods for solving partial differential equations of elliptic types," ...