110 citations · 751 across the 32 of their papers we have counts for
9 papers · 1 filter
On the Use of Neural Networks for Full Waveform Inversion
Leon Herrmann, Tim Bürchner, Felix Dietrich +1
Neural networks have recently gained attention in solving inverse problems. One prominent methodology are Physics-Informed Neural Networks (PINNs) which can solve both forward and…
Predicting Fracture in the Proximal Humerus using Phase Field Models
L. Hug, G. Dahan, S. Kollmannsberger +2
Proximal humerus impacted fractures are of clinical concern in the elderly population. Prediction of such fractures by CT-based finite element methods encounters several major obst…
Space-time hp finite elements for heat evolution in laser-based additive manufacturing
Philipp Kopp, Victor Calo, Ernst Rank +1
The direct numerical simulation of metal additive manufacturing processes such as laser powder bed fusion is challenging due to the vast differences in spatial and temporal scales.…
Enforcing essential boundary conditions on domains defined by point clouds
Frank Hartmann, Stefan Kollmannsberger
This paper develops and investigates a new method for the application of Dirichlet boundary conditions for computational models defined by point clouds. Point cloud models often st…
The Finite Cell Method with Least Squares Stabilized Nitsche Boundary Conditions
Karl Larsson, Stefan Kollmannsberger, Ernst Rank +1
We apply the recently developed least squares stabilized symmetric Nitsche method for enforcement of Dirichlet boundary conditions to the finite cell method. The least squares stab…
Efficient multi-level hp-finite elements in arbitrary dimensions
Philipp Kopp, Ernst Rank, Victor M. Calo +1
We present an efficient algorithmic framework for constructing multi-level hp-bases that uses a data-oriented approach that easily extends to any number of dimensions and provides…
Hierarchical multigrid approaches for the finite cell method on uniform and multi-level hp-refined grids
John Jomo, Oguz Oztoprak, Frits de Prenter +3
This contribution presents a hierarchical multigrid approach for the solution of large-scale finite cell problems on both uniform grids and multi-level hp-discretizations. The prop…
Residual stresses in metal deposition modeling: discretizations of higher order
Ali Özcan, Stefan Kollmannsberger, John N. Jomo +1
This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal depos…
Robust and parallel scalable iterative solutions for large-scale finite cell analyses
John N. Jomo, Frits de Prenter, Mohamed Elhaddad +7
The finite cell method is a highly flexible discretization technique for numerical analysis on domains with complex geometries. By using a non-boundary conforming computational dom…