A Nodal Immersed Finite Element-Finite Difference Method

@article{Wells2021ANI,
  title={A Nodal Immersed Finite Element-Finite Difference Method},
  author={David R. Wells and Ben Vadala-Roth and Jae H. Lee and Boyce E. Griffith},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.09958}
}
2 Citations

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References

SHOWING 1-10 OF 40 REFERENCES

Hybrid finite difference/finite element immersed boundary method

  • B. GriffithXiaoyu Luo
  • Computer Science
    International journal for numerical methods in biomedical engineering
  • 2017
The Lagrangian‐Eulerian coupling approach developed in this work enables the effective use of these coarse structural meshes with the immersed boundary method and contrasts two different weak forms of the equations, one of which is demonstrated to be more effective for the coarse structural discretizations facilitated by the coupling approach.

Immersed finite element method

Semi-implicit formulation of the immersed finite element method

The semi-implicit formulation of the IFEM algorithm is developed so that several terms of the interfacial forces are implicitly evaluated without going through the force distribution process and is capable of handling highly discontinuous physical properties quite well without any numerical difficulties.

On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method

Extended immersed boundary method using FEM and RKPM

The immersed boundary method

This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological

An immersed boundary energy-based method for incompressible viscoelasticity