2 papers
math.NA2026
Analysis of Block Jacobi/Gauss-Seidel and additive/multiplicative Schwarz preconditioning through the theory of GLT sequences, with applications to domain decomposition discretizations
Carlo Garoni, Abdessadek Rifqui, Stefano Serra-Capizzano
When a linear differential problem is discretized by a linear numerical method characterized by a mesh fineness parameter , the computation of the numerical solution reduces to…
math.NA2026
Block Schwarz methods and preconditioning strategies using Generalized locally Toeplitz tools - part I: analysis of the preconditioners and numerical validation
Abdessadek Rifqui, Ahmed Ratnani, Stefano Serra-Capizzano
In the current work we present a spectral analysis of the additive and multiplicative Schwarz methods within the framework of domain decomposition techniques, by investigating the…