Adaptive anisotropic integration scheme for high-order fictitious domain methods: application to thin structures
type: Item
instance of: scholarly article
title: Adaptive anisotropic integration scheme for high-order fictitious domain methods: application to thin structures
zbMATH Open document ID: 1548.65308
author: G. Legrain
author: Nicolas Moës
published in: International Journal for Numerical Methods in Engineering
publication date: 2024-07-08T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N85
zbMATH DE Number: 7878388
zbMATH Keywords: anisotropic meshing
zbMATH Keywords: fictitious domain
zbMATH Keywords: high order
zbMATH Keywords: shell
zbMATH Keywords: solid shell
zbMATH Keywords: X-FEM
MaRDI profile type: Publication
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: Isogeometric Analysis
cites work: Isogeometric analysis for trimmed CAD surfaces
cites work: Geometric modeling, isogeometric analysis and the finite cell method
cites work: A simple approach to the numerical simulation with trimmed CAD surfaces
cites work: Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries
cites work: Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
cites work: On the numerical integration of trimmed isogeometric elements
cites work: Structured extended finite element methods for solids defined by implicit surfaces
cites work: An X-FEM and level set computational approach for image-based modelling: application to homogenization
cites work: High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation
cites work: Efficient finite element methodology based on Cartesian grids: application to structural shape optimization
cites work: The finite cell method for three-dimensional problems of solid mechanics
cites work: Shell finite cell method: a high order fictitious domain approach for thin-walled structures
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
cites work: Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method
cites work: Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
cites work: An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
cites work: Studied X-FEM enrichment to handle material interfaces with higher order finite element
cites work: Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
cites work: Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
cites work: Highly accurate surface and volume integration on implicit domains by means of moment-fitting
cites work: Numerical integration of discontinuities on arbitrary domains based on moment fitting
cites work: Moderate Degree Symmetric Quadrature Rules for the Triangle
cites work: Quadrature Rules for Regions Having Regular Hexagonal Symmetry
cites work: High degree efficient symmetrical Gaussian quadrature rules for the triangle
cites work: Q4494596
cites work: A NURBS enhanced extended finite element approach for unfitted CAD analysis
cites work: Exact 3D boundary representation in finite element analysis based on Cartesian grids independent of the geometry
cites work: Smart octrees: accurately integrating discontinuous functions in 3D
cites work: Higher-order accurate integration of implicit geometries
cites work: Anisotropic mesh adaptivity for multi-scale ocean modelling
cites work: Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz-Zhu error estimator
cites work: An accurate anisotropic adaptation method for solving the level set advection equation
cites work: Anisotropic Error Estimates and Space Adaptivity for a Semidiscrete Finite Element Approximation of the Transient Transport Equation
cites work: An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications
cites work: An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques
cites work: Anisotropic mesh adaptation with optimal convergence for finite elements using embedded geometries
cites work: Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing
cites work: Implicit Boundary and Adaptive Anisotropic Meshing
cites work: A new one-point quadrature enhanced assumed strain (EAS) solid-shell element with multiple integration points along thickness: Part I-geometrically linear applications
cites work: A large deformation solid-shell concept based on reduced integration with hourglass stabilization
cites work: A new nine-node solid-shell finite element using complete 3D constitutive laws
cites work: On the development of NURBS-based isogeometric solid shell elements: 2D problems and preliminary extension to 3D
cites work: Efficient isogeometric NURBS-based solid-shell elements: mixed formulation and \(\overline B\)-method
cites work: An isogeometric locking-free NURBS-based solid-shell element for geometrically nonlinear analysis
cites work: \(pq\)-adaptive solid finite elements for three-dimensional plates and shells
cites work: Anisotropic mesh adaptation for CFD computations
cites work: Levelsets and anisotropic mesh adaptation
cites work: Solution of high-Reynolds incompressible flow with stabilized finite element and adaptive anisotropic meshing
cites work: PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
cites work: Modeling holes and inclusions by level sets in the extended finite element method
cites work: The \(p\)-version of the finite element method for three-dimensional curved thin walled structures.
cites work: The principle of minimized iterations in the solution of the matrix eigenvalue problem
cites work: Condition number analysis and preconditioning of the finite cell method
cites work: High-order finite elements for shells
DOI: 10.1002/NME.5769
description: scientific article; zbMATH DE number 7878388