3 papers
math.NA2026
Monolithic and Block Overlapping Schwarz Preconditioners for the Incompressible Navier-Stokes Equations
Alexander Heinlein, Axel Klawonn, Jascha Knepper +1
Monolithic preconditioners applied to the linear systems arising during the solution of the discretized incompressible Navier-Stokes equations are typically more robust than precon…
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…