Robust numerical integration on curved polyhedra based on folded decompositions
From MaRDI portal
Publication:2142148
DOI10.1016/j.cma.2022.114948OpenAlexW3198151999MaRDI QIDQ2142148
Annalisa Buffa, Xiaodong Wei, Pablo Antolin
Publication date: 27 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03734
numerical integrationisogeometric analysistrimmed volumescomplex geometric featurescurved polyhedranegative-Jacobian cells
Related Items (2)
A localized reduced basis approach for unfitted domain methods on parameterized geometries ⋮ Stabilized isogeometric formulation of the Stokes problem on overlapping patches
Uses Software
Cites Work
- Numerical integration of discontinuities on arbitrary domains based on moment fitting
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
- Numerical integration of discontinuous functions: moment fitting and smart octree
- An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
- Multimesh finite element methods: solving PDEs on multiple intersecting meshes
- Isogeometric analysis on V-reps: first results
- An efficient method to integrate polynomials over polytopes and curved solids
- Volumetric untrimming: precise decomposition of trimmed trivariates into tensor products
- Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis
- Numerical integration for nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting
- Error-estimate-based adaptive integration for immersed isogeometric analysis
- Scaled boundary cubature scheme for numerical integration over planar regions with affine and curved boundaries
- First order error correction for trimmed quadrature in isogeometric analysis
- Stable isogeometric analysis of trimmed geometries
- Smart octrees: accurately integrating discontinuous functions in 3D
- Adaptively weighted numerical integration over arbitrary domains
- Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
- Immersed boundary-conformal isogeometric method for linear elliptic problems
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
- CutFEM: Discretizing geometry and partial differential equations
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A finite element method for crack growth without remeshing
- The Generation of 3D Trimmed Elements for NURBS-Based Isogeometric Analysis
- A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries
- Overlapping Multipatch Isogeometric Method with Minimal Stabilization
This page was built for publication: Robust numerical integration on curved polyhedra based on folded decompositions
