3 citations · 6 across the 4 of their papers we have counts for
9 papers
Symbol based convergence analysis in multigrid methods for saddle point problems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
Saddle point problems arise in a variety of applications, e.g., when solving the Stokes equations. They can be formulated such that the system matrix is symmetric, but indefinite,…
Using ODE waveform-relaxation methods to efficiently include gap junctions in distributed neural network simulations
Matthias Bolten, Jan Hahne
Waveform-relaxation methods divide systems of differential equations into subsystems and therefore allow for parallelization across the system. Here we present an application for O…
Krylov Subspace Recycling for Evolving Structures
Matthias Bolten, Eric de Sturler, Camilla Hahn
Krylov subspace recycling is a powerful tool for solving long series of large, sparse linear systems that change slowly. In PDE constrained shape optimization, these appear natural…
Non-overlapping block smoothers for the Stokes equations
Lisa Claus, Matthias Bolten
Overlapping block smoothers efficiently damp the error contributions from highly oscillatory components within multigrid methods for the Stokes equations but they are computational…
PyMGRIT: A Python Package for the parallel-in-time method MGRIT
Jens Hahne, Stephanie Friedhoff, Matthias Bolten
In this paper, we introduce the Python framework PyMGRIT, which implements the multigrid-reduction-in-time (MGRIT) algorithm for solving the (non-)linear systems arising from the d…
Tracing locally Pareto optimal points by numerical integration
Matthias Bolten, Onur Tanil Doganay, Hanno Gottschalk +1
We suggest a novel approach for the efficient and reliable approximation of the Pareto front of sufficiently smooth unconstrained bi-criteria optimization problems. Optimality cond…