Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

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Fast formation and assembly of finite element matrices with application to isogeometric linear elasticity (2019, background): “In particular, several investigations have demonstrated superior robustness and accuracy per degree of freedom [9, 30, 36], and excellent spectral behavior has been shown in a number of studies [19, 23, 31, 32] explaining the excellent results ob20 tained in applications such as structural dynamics ”
Generalized locally Toeplitz sequences : Theory and applications (2017, background): “Among other things, it was shown in [45, 55] that block Toeplitz structures allow one to provide a symbol-based explanation of the so-called spectral (acoustical/optical) branches, numerically observed by engineers in [64, 65].”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, background): “Moreover, isogeometri c analysis turned out to be a superior computational mechanics technology, which on a per-degree-of-freedom basis exhibits increased accuracy and robustness in comparison to standard finite elements [36, 52, 63, 79, 100, 155, 160].”