97 citations · 112 across the 9 of their papers we have counts for
4 papers · 1 filter
On singular behaviour in a plane linear elastostatics problem
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
A vector field similar to those separately introduced by Artstein and Dafermos is constructed from the tangent to a monotone increasing one-parameter family of non-concentric circl…
The Least Action Admissibility Principle
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
This paper provides a new admissibility criterion for choosing physically relevant weak solutions of the equations of Lagrangian and continuum mechanics when non-uniqueness of solu…
Space-time stochastic Galerkin boundary elements for acoustic scattering problems
Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir
Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary el…
Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple c…