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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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08/29/2023
Fast immersed boundary method based on weighted quadrature
Combining sum factorization, weighted quadrature, and row-based assembly...
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06/12/2023
Connecting continuum poroelasticity with discrete synthetic vascular trees for modeling liver tissue
Computational simulations have the potential to assist in liver resectio...
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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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10/04/2021
A DEIM driven reduced basis method for the diffuse Stokes/Darcy model, applied to inverse subsurface characterization of in-situ leach mining
In this article, we develop a reduced basis method for efficiently solvi...
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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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01/03/2021
A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen–Loève expansion
Numerical computation of the Karhunen–Loève expansion is computationally...
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11/27/2020
A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadratur
The Karhunen-Loève series expansion (KLE) decomposes a stochastic proces...
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09/30/2020
Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model
We show that in the variational multiscale framework, the weak enforceme...
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12/22/2019
A Framework for Data-Driven Computational Dynamics Based on Nonlinear Optimization
In this article, we present an extension of the formulation recently dev...
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10/28/2019
