Improved conditioning of isogeometric analysis matrices for trimmed geometries
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Publication:2310905
DOI10.1016/j.cma.2018.01.052zbMath1440.74426OpenAlexW2792165553MaRDI QIDQ2310905
R. R. Hiemstra, Benjamin Marussig, Thomas J. R. Hughes
Publication date: 7 April 2020
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.2018.01.052
Numerical computation using splines (65D07) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (17)
Stabilization of spline bases by extension ⋮ Overlapping multi-patch structures in isogeometric analysis ⋮ Multigrid solvers for immersed finite element methods and immersed isogeometric analysis ⋮ Immersed boundary-conformal isogeometric method for linear elliptic problems ⋮ Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces ⋮ Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach ⋮ A localized reduced basis approach for unfitted domain methods on parameterized geometries ⋮ Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization ⋮ Preconditioning immersed isogeometric finite element methods with application to flow problems ⋮ Suitably graded THB-spline refinement and coarsening: towards an adaptive isogeometric analysis of additive manufacturing processes ⋮ A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries ⋮ Modified basis functions for MPHT-splines ⋮ Progressive optimization of complex shells with cutouts using a smart design domain method ⋮ Spectral analysis of matrices resulting from isogeometric immersed methods and trimmed geometries ⋮ Fast formation and assembly of isogeometric Galerkin matrices for trimmed patches ⋮ Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains ⋮ Overlapping Multipatch Isogeometric Method with Minimal Stabilization
Uses Software
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