3 papers
math.NA2026
An algebraic multiscale framework for two-level overlapping Schwarz preconditioners
Filipe Cumaru, Hadi Hajibeygi, Cornelis Vuik +1
The robustness of two-level overlapping additive Schwarz (OAS) preconditioners for highly heterogeneous elliptic problems hinges on the choice of the coarse space. We propose an al…
math.NA2025
Two-level additive Schwarz preconditioners for reduced integration methods
Filipe Cumaru, Alexander Heinlein, Joachim Schöberl
Incompressible fluid flow problems appear frequently in different applications. The discretization of such problems may result in large and ill-conditioned systems of linear equati…
math.NA2025
Sharpened PCG Iteration Bound for High-Contrast Heterogeneous Scalar Elliptic PDEs
Philip Soliman, Filipe Cumaru, Alexander Heinlein
A new iteration bound for the preconditioned conjugate gradient (PCG) method is presented that more accurately captures convergence for systems with clustered eigenspectra, where t…