A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries
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Publication:4970514
DOI10.1137/19M1244718zbMath1453.65403arXiv1902.04937MaRDI QIDQ4970514
Riccardo Puppi, Rafael Vázquez, Annalisa Buffa
Publication date: 14 October 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.04937
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fictitious domain methods for boundary value problems involving PDEs (65N85)
Related Items (12)
Robust numerical integration on curved polyhedra based on folded decompositions ⋮ Immersed boundary-conformal isogeometric method for linear elliptic problems ⋮ 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 ⋮ Extension operators for trimmed spline spaces ⋮ Kirchhoff-Love shell representation and analysis using triangle configuration B-splines ⋮ Stabilized isogeometric formulation of the Stokes problem on overlapping patches ⋮ Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff-Love shells: CAS elements ⋮ Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products ⋮ 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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