Zobrazeno 1 - 10
of 2 959
pro vyhledávání: '"Hiemstra P"'
We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane locking, we discretize the independent strains with spline basis functions
Externí odkaz:
http://arxiv.org/abs/2406.16685
The macro-element variant of the hybridized discontinuous Galerkin (HDG) method combines advantages of continuous and discontinuous finite element discretization. In this paper, we investigate the performance of the macro-element HDG method for the a
Externí odkaz:
http://arxiv.org/abs/2402.11361
This study explores the integration of the hyper-power sequence, a method commonly employed for approximating the Moore-Penrose inverse, to enhance the effectiveness of an existing preconditioner. The approach is closely related to polynomial precond
Externí odkaz:
http://arxiv.org/abs/2311.06926
Autor:
Hiemstra, Rene, Nguyen, Thi-Hoa, Eisentrager, Sascha, Dornisch, Wolfgang, Schillinger, Dominik
This paper introduces a mathematical framework for explicit structural dynamics, employing approximate dual functionals and rowsum mass lumping. We demonstrate that the approach may be interpreted as a Petrov-Galerkin method that utilizes rowsum mass
Externí odkaz:
http://arxiv.org/abs/2310.13379
Autor:
Nguyen, Thi-Hoa, Roccia, Bruno A., Hiemstra, René R., Gebhardt, Cristian G., Schillinger, Dominik
In this paper, we present a discrete formulation of nonlinear shear- and torsion-free rods introduced by Gebhardt and Romero in [20] that uses isogeometric discretization and robust time integration. Omitting the director as an independent variable f
Externí odkaz:
http://arxiv.org/abs/2309.10652
Combining sum factorization, weighted quadrature, and row-based assembly enables efficient higher-order computations for tensor product splines. We aim to transfer these concepts to immersed boundary methods, which perform simulations on a regular ba
Externí odkaz:
http://arxiv.org/abs/2308.15034
Membrane locking in finite element approximations of thin beams and shells has remained an unresolved topic despite four decades of research. In this article, we utilize Fourier analysis of the complete spectrum of natural vibrations and propose a cr
Externí odkaz:
http://arxiv.org/abs/2306.06249
Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, Volume xxx, xxx 2023, 116233
We present a mass lumping approach based on an isogeometric Petrov-Galerkin method that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of the polynomial degree of the spline approximation. To discretize the tes
Externí odkaz:
http://arxiv.org/abs/2305.12916
We investigate a macro-element variant of the hybridized discontinuous Galerkin (HDG) method, using patches of standard simplicial elements that can have non-matching interfaces. Coupled via the HDG technique, our method enables local refinement by u
Externí odkaz:
http://arxiv.org/abs/2302.10917
Autor:
T. G. Meehan, A. Hojatimalekshah, H.-P. Marshall, E. J. Deeb, S. O'Neel, D. McGrath, R. W. Webb, R. Bonnell, M. S. Raleigh, C. Hiemstra, K. Elder
Publikováno v:
The Cryosphere, Vol 18, Pp 3253-3276 (2024)
Estimating snow mass in the mountains remains a major challenge for remote-sensing methods. Airborne lidar can retrieve snow depth, and some promising results have recently been obtained from spaceborne platforms, yet density estimates are required t
Externí odkaz:
https://doaj.org/article/cd7151a43dbc4dbeb26b1be28e1253ef