3 papers
math.NA2024
Speeding up an unsteady flow simulation by adaptive BDDC and Krylov subspace recycling
Martin Hanek, Jan Papež, Jakub Šístek
We deal with accelerating the solution of a sequence of large linear systems solved by preconditioned conjugate gradient method (PCG). The sequence originates from time-stepping wi…
math.NA2024
A-posteriori-steered -robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems
Ani Miraçi, Jan Papež, Martin Vohralík +1
In this work, we develop algebraic solvers for linear systems arising from the discretization of second-order elliptic partial differential equations by saddle-point mixed finite e…
math.NA2024
A posteriori error estimates based on multilevel decompositions with large problems on the coarsest level
Petr Vacek, Jan Papež, Zdeněk Strakoš
Multilevel methods represent a powerful approach in numerical solution of partial differential equations. The multilevel structure can also be used to construct estimates for total…