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The application of immersed boundary methods in static analyses is often impeded by poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of equations and stability problems.
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V. Giurgiutiu, Structural Health Monitoring with Piezoelectric Wafer Active Sensors · 2014
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2015
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2015
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2015
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2020
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R. R. Hiemstra, T. J. R. Hughes, A. Reali, and D. Schillinger, “Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions,” Computer Methods in Applied Mechanics and Engineering
2021
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2021
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J. Jomo, O. Oztoprak, F. de Prenter, N. Zander, S. Kollmannsberger, and E. Rank, “Hierarchical multigrid approaches for the finite cell method on uniform and multi-level hp -refined grids,” Computer Methods in Applied Mechanics and Engineering
2021
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G. Legrain, “Non-negative moment fitting quadrature rules for fictitious domain methods,” Computers & Mathematics with Applications
2021
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L. Radtke, D. Müller, and A. Düster, “Optimally blended spectral elements in structural dynamics: Selective integration and mesh distortion,” International Journal of Computational Methods
2021
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E. Burman, P. Hansbo, and M. G. Larson, “Explicit time stepping for the wave equation using CutFEM with discrete extension,” SIAM Journal on Scientific Computing
2022
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W. Garhuom, K. Usman, and A. Düster, “An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems,” Computational Mechanics
2022
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2022
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W. Garhuom and A. Düster, “Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations,” Computational Mechanics
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S. Nicoli, K. Agathos, and E. Chatzi, “Moment fitted cut spectral elements for explicit analysis of guided wave propagation,” Computer Methods in Applied Mechanics and Engineering
2022
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2023
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