1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.NA2023★ 1 cited
Non-unit quaternion parametrization of a Petrov-Galerkin Cosserat rod finite element
Jonas Harsch, Simon R. Eugster
The application of the Petrov-Galerkin projection method in Cosserat rod finite element formulations offers significant advantages in simplifying the expressions within the discret…
math.NA2023
A family of total Lagrangian Petrov-Galerkin Cosserat rod finite element formulations
Simon R. Eugster, Jonas Harsch
The standard in rod finite element formulations is the Bubnov-Galerkin projection method, where the test functions arise from a consistent variation of the ansatz functions. This a…
math.NA2023
A total Lagrangian, objective and intrinsically locking-free Petrov-Galerkin SE(3) Cosserat rod finite element formulation
Jonas Harsch, Simon Sailer, Simon R. Eugster
Based on more than three decades of rod finite element theory, this publication unifies all the successful contributions found in literature and eradicates the arising drawbacks li…