30 citations · 194 across the 19 of their papers we have counts for
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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…
Two-level error estimation for the integral fractional Laplacian
Markus Faustmann, Ernst Peter Stephan, David Wörgötter
For the singular integral definition of the fractional Laplacian, we consider an adaptive finite element method steered by two-level error indicators. For this algorithm, we show l…
A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d
Heiko Gimperlein, Ceyhun Oezdemir, Ernst P. Stephan
We consider the well-posedness and a priori error estimates of a 3d FEM-BEM coupling method for fluid-structure interaction in the time domain. For an elastic body immersed in a fl…
A residual a posteriori error estimate for the time-domain boundary element method
Heiko Gimperlein, Ceyhun Oezdemir, David Stark +1
This article investigates residual a posteriori error estimates and adaptive mesh refinements for time-dependent boundary element methods for the wave equation. We obtain reliable…
The saturation assumption yields optimal convergence of two-level adaptive BEM
Dirk Praetorius, Michele Ruggeri, Ernst P. Stephan
We consider the convergence of adaptive BEM for weakly-singular and hypersingular integral equations associated with the Laplacian and the Helmholtz operator in 2D and 3D. The loca…
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 $…