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09/19/2023
Nonlinear dynamic analysis of shear- and torsion-free rods using isogeometric discretization, outlier removal and robust time integration
In this paper, we present a discrete formulation of nonlinear shear- and...
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06/09/2023
Fourier analysis of membrane locking and unlocking
Membrane locking in finite element approximations of thin beams and shel...
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05/22/2023
Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics
We present a mass lumping approach based on an isogeometric Petrov-Galer...
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02/18/2023
A matrix-free macro-element variant of the hybridized discontinuous Galerkin method
We investigate a macro-element variant of the hybridized discontinuous G...
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01/25/2022
Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods
In this paper, we propose a variationally consistent technique for decre...
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11/04/2021
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations
A key advantage of isogeometric discretizations is their accurate and we...
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06/06/2021
Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler-Bernoulli beam
In this paper, we take a fresh look at using spectral analysis for asses...
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12/17/2020
The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout
Quadrilateral layouts on surfaces are valuable in texture mapping, and e...
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01/22/2020