4 papers
Constrained Consensus-Based Optimization and Numerical Heuristics for the Few Particle Regime
Jonas Beddrich, Enis Chenchene, Massimo Fornasier +2
Consensus-based optimization (CBO) is a versatile multi-particle optimization method for performing nonconvex and nonsmooth global optimizations in high dimensions. Proofs of globa…
On the well-posedness of a nonlocal kinetic model for dilute polymers with anomalous diffusion
Marvin Fritz, Endre Süli, Barbara Wohlmuth
In this work, we study a class of nonlocal-in-time kinetic models of incompressible dilute polymeric fluids. The system couples a macroscopic balance of linear momentum equation wi…
A kernel compression method for distributed-order fractional partial differential equations
Jonas Beddrich, Barbara Wohlmuth
We propose a kernel compression method for solving Distributed-Order (DO) Fractional Partial Differential Equations (DOFPDEs) at the cost of solving corresponding local-in-time PDE…
Numerical simulation of dilute polymeric fluids with memory effects in the turbulent flow regime
Jonas Beddrich, Stephan B. Lunowa, Barbara Wohlmuth
We address the numerical challenge of solving the Hookean-type time-fractional Navier--Stokes--Fokker--Planck equation, a history-dependent system of PDEs defined on the Cartesian…