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20212024
most citedTowards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics

32 citations · 71 across the 8 of their papers we have counts for

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math.NA2024

A study on nodal and isogeometric formulations for nonlinear dynamics of shear- and torsion-free rods

Thi-Hoa Nguyen, Bruno A. Roccia, Dominik Schillinger +1

In this work, we compare the nodal and isogeometric spatial discretization schemes for the nonlinear formulation of shear- and torsion-free rods introduced in [1]. We investigate t…

math.NA2023★ 12 cited

Higher order accurate mass lumping for explicit isogeometric methods based on approximate dual basis functions

Rene Hiemstra, Thi-Hoa Nguyen, Sascha Eisentrager +2

This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach ma…

math.NA2022★ 12 cited

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

Stein K. F. Stoter, Thi-Hoa Nguyen, René R. Hiemstra +1

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach…

math.NA2021★ 11 cited

A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations

Thi-Hoa Nguyen, René R. Hiemstra, Stein K. F. Stoter +1

A key advantage of isogeometric discretizations is their accurate and well-behaved eigenfrequencies and eigenmodes. For degree two and higher, however, optical branches of spurious…