Isogeometric analysis on V-reps: first results
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Publication:1988260
DOI10.1016/j.cma.2019.07.015zbMath1441.65091arXiv1903.03362OpenAlexW2962802911MaRDI QIDQ1988260
Annalisa Buffa, Massimiliano Martinelli, Pablo Antolin
Publication date: 16 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.03362
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (22)
Robust numerical integration on curved polyhedra based on folded decompositions ⋮ Analysis-aware defeaturing: Problem setting and a posteriori estimation ⋮ 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 ⋮ Analysis-suitable unstructured T-splines: multiple extraordinary points per face ⋮ A localized reduced basis approach for unfitted domain methods on parameterized geometries ⋮ Patch-wise quadrature of trimmed surfaces in isogeometric analysis ⋮ Fast immersed boundary method based on weighted quadrature ⋮ Stabilized isogeometric formulation of the Stokes problem on overlapping patches ⋮ Hierarchically refined isogeometric analysis of trimmed shells ⋮ Smooth multi-patch discretizations in isogeometric analysis ⋮ Coupling of non-conforming trimmed isogeometric Kirchhoff-Love shells via a projected super-penalty approach ⋮ Handling heterogeneous structures and materials using blending schemes in V-reps ⋮ Multipatch isogeometric analysis for electrophysiology: simulation in a human heart ⋮ AS++ T-splines: arbitrary degree, nestedness and approximation ⋮ A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries ⋮ Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces ⋮ 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 ⋮ Fast and multiscale formation of isogeometric matrices of microstructured geometric models
Uses Software
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