Graded parametric CutFEM and CutIGA for elliptic boundary value problems in domains with corners

DOI10.1016/j.cma.2019.05.024zbMath1441.65104arXiv1812.08568OpenAlexW2903804337MaRDI QIDQ1988145

Tobias Jonsson, Mats G. Larson, Karl Larsson

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/1812.08568

zbMATH Keywords

corner singularitiesa priori error estimatescut finite element methodcut isogeometric analysis

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (2)

Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Uses Software

• CutFEM

Cites Work

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• Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
• Cut finite element methods for elliptic problems on multipatch parametric surfaces
• Enriched isogeometric analysis of elliptic boundary value problems in domains with cracks and/or corners
• CutFEM: Discretizing geometry and partial differential equations
• The extended/generalized finite element method: An overview of the method and its applications
• A finite element method on composite grids based on Nitsche's method
• Isogeometric Analysis

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