Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions
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Publication:2246351
DOI10.1016/j.cma.2021.114115OpenAlexW3203062988MaRDI QIDQ2246351
R. R. Hiemstra, Dominik Schillinger, Thomas J. R. Hughes, Alessandro Reali
Publication date: 16 November 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2021.114115
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (10)
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations ⋮ Ritz-type projectors with boundary interpolation properties and explicit spline error estimates ⋮ SoftIGA: soft isogeometric analysis ⋮ A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis ⋮ Towards higher-order accurate mass lumping in explicit isogeometric analysis for structural dynamics ⋮ Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems ⋮ A low-rank isogeometric solver based on Tucker tensors ⋮ B-spline collocation discretizations of Caputo and Riemann-Liouville derivatives: a matrix comparison ⋮ Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations ⋮ A large deformation isogeometric continuum shell formulation incorporating finite strain elastoplasticity
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