30 citations · 376 across the 49 of their papers we have counts for
5 papers · 1 filter
Time domain boundary elements for elastodynamic contact
Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein
This article proposes a boundary element method for the dynamic contact between a linearly elastic body and a rigid obstacle. The Signorini contact problem is formulated as a varia…
Higher-order time domain boundary elements for elastodynamics -- graded meshes and hp versions
Alessandra Aimi, Giulia Di Credico, Heiko Gimperlein +1
The solution to the elastodynamic equation in the exterior of a polyhedral domain or a screen exhibits singular behavior from the corners and edges. The detailed expansion of the s…
Wellposedness of an elliptic-dispersive coupled system for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
In this work, we study the local wellposedness of the solution to a nonlinear elliptic-dispersive coupled system which serves as a model for a Micro-Electro-Mechanical System (MEMS…
Solutions to semilinear wave equations of very low regularity
Heiko Gimperlein, Michael Oberguggenberger
This paper finds solutions to semilinear wave equations with strongly anomalous propagation of singularities. For very low Sobolev regularity we obtain solutions whose singular sup…
Non-Uniqueness in Plane Fluid Flows
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
Examples of dynamical systems proposed by Z. Artstein and C. M. Dafermos admit non-unique solutions that track a one parameter family of closed circular orbits contiguous at a sing…