60 citations · 167 across the 19 of their papers we have counts for
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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…
Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam
Thi-Hoa Nguyen, René R. Hiemstra, Dominik Schillinger
In this paper, we take a fresh look at using spectral analysis for assessing locking phenomena in finite element formulations. We propose to "measure" locking by comparing the diff…
A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen--Loève expansion
Michal Lukasz Mika, René Rinke Hiemstra, Thomas Joseph Robert Hughes +1
Numerical computation of the Karhunen--Loève expansion is computationally challenging in terms of both memory requirements and computing time. We compare two state-of-the-art metho…