Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods

@article{Stoter2022VariationallyCM,
  title={Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods},
  author={Stein K. F. Stoter and Thi Hoa Nguyen and Ren{\'e} R. Hiemstra and Dominik Schillinger},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.10475}
}
Data-driven synchronization-avoiding algorithms in the explicit distributed structural analysis of soft tissue
TLDR
This work proposes a data-driven framework to increase the computationalency of the explicit, distributed element method in the structural analysis of soft tissue, and uses an encoder-decoder long short-term memory deep neural network to predict synchronized displacements at shared nodes.

References

SHOWING 1-10 OF 44 REFERENCES
A collocated C0 finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics
TLDR
This work presents a collocation method that is variationally consistent and geometrically flexible, converges optimally, embraces concepts of reduced quadrature, and leads to symmetric stiffness and diagonal consistent mass matrices, thus reducing formation and assembly effort significantly with respect to standard Galerkin finite element methods.
Variational methods for selective mass scaling
A new variational method for selective mass scaling is proposed. It is based on a new penalized Hamilton’s principle where relations between variables for displacement, velocity and momentum are
Selective mass scaling for explicit finite element analyses
Due to their inherent lack of convergence problems explicit finite element techniques are widely used for analysing non‐linear mechanical processes. In many such processes the energy content in the
Discontinuous Galerkin Methods for Computational Fluid Dynamics
TLDR
The main properties of the DG methods as applied to a wide variety of problems, including linear, symmetric hyperbolic systems, the Euler equations of gas dynamics, purely elliptic problems, and the incompressible and compressible Navier–Stokes equations are studied.
...
...