30 citations · 376 across the 49 of their papers we have counts for
8 papers · 1 filter
Metaplex networks: influence of the exo-endo structure of complex systems on diffusion
Ernesto Estrada, Gissell Estrada-Rodriguez, Heiko Gimperlein
In a complex system the interplay between the internal structure of its entities and their interconnection may play a fundamental role in the global functioning of the system. Here…
hp-version time domain boundary elements for the wave equation on quasi-uniform meshes
Heiko Gimperlein, Ceyhun Oezdemir, David Stark +1
Solutions to the wave equation in the exterior of a polyhedral domain or a screen in exhibit singular behavior from the edges and corners. We present quasi-optimal $…
On a preconditioner for time domain boundary element methods
Heiko Gimperlein, David Stark
We propose a time stepping scheme for the space-time systems obtained from Galerkin time-domain boundary element methods for the wave equation. Based on extrapolation, the method p…
Space-time adaptive finite elements for nonlocal parabolic variational inequalities
Heiko Gimperlein, Jakub Stocek
This article considers the error analysis of finite element discretizations and adaptive mesh refinement procedures for nonlocal dynamic contact and friction, both in the domain an…
Interacting particles with Lévy strategies: limits of transport equations for swarm robotic systems
Gissell Estrada-Rodriguez, Heiko Gimperlein
Lévy robotic systems combine superdiffusive random movement with emergent collective behaviour from local communication and alignment in order to find rare targets or track objects…
Space-time fractional diffusion in cell movement models with delay
Gissell Estrada-Rodriguez, Heiko Gimperlein, Kevin J. Painter +1
The movement of organisms and cells can be governed by occasional long distance runs, according to an approximate Lévy walk. For T cells migrating through chronically-infected brai…