Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D
type: Item
instance of: scholarly article
title: Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D
author: Márton Petö
author: Wadhah Garhuom
author: Fabian Duvigneau
author: Sascha Eisenträger
author: Alexander Düster
author: D. Juhre
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 7614974
zbMATH Keywords: finite cell method
zbMATH Keywords: embedded domain methods
zbMATH Keywords: octree integration
zbMATH Keywords: discontinuous integrals
zbMATH Keywords: non-linear mechanics
describes a project that uses: FCMLab
MaRDI profile type: Publication
full work available at URL: j.cma.2022.115565
OpenAlex ID: W4298113339
cites work: A fictitious domain approach with spread interface for elliptic problems with general boundary conditions
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
cites work: The finite cell method for three-dimensional problems of solid mechanics
cites work: Theoretical and numerical investigation of the finite cell method
cites work: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
cites work: Fictitious domain finite element methods using cut elements. I: A stabilized Lagrange multiplier method
cites work: Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
cites work: Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
cites work: The extended/generalized finite element method: An overview of the method and its applications
cites work: Efficient finite element methodology based on Cartesian grids: application to structural shape optimization
cites work: Fixed grid finite elements in elasticity problems
cites work: An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
cites work: An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
cites work: An adaptive version of the immersed boundary method
cites work: The immersed boundary method
cites work: Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
cites work: A remeshing strategy for large deformations in the finite cell method
cites work: An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems
cites work: The finite cell method for nearly incompressible finite strain plasticity problems with complex geometries
cites work: Numerical integration for nonlinear problems of the finite cell method using an adaptive scheme based on moment fitting
cites work: Numerical homogenization of hybrid metal foams using the finite cell method
cites work: Finite Cell Method: High-Order Structural Dynamics for Complex Geometries
cites work: Finite and spectral cell method for wave propagation in heterogeneous materials
cites work: The finite cell method for linear thermoelasticity
cites work: Non-standard bone simulation: interactive numerical analysis by computational steering
cites work: Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone
cites work: The finite and spectral cell methods for smart structure applications: transient analysis
cites work: Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method
cites work: Phase-field modeling of brittle fracture with multi-level \textit{hp}-FEM and the finite cell method
cites work: Topology optimization using the finite cell method
cites work: A prediction method based on the voxel model and the finite cell method for cutting force-induced deformation in the five-axis milling process
cites work: Direct structural analysis of domains defined by point clouds
cites work: Numerical analysis of Lamb waves using the finite and spectral cell methods
cites work: The spectral cell method for wave propagation in heterogeneous materials simulated on multiple GPUs and CPUs
cites work: Local enrichment of the finite cell method for problems with material interfaces
cites work: Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
cites work: Preconditioning immersed isogeometric finite element methods with application to flow problems
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: The finite cell method for polygonal meshes: poly-FCM
cites work: Condition number analysis and preconditioning of the finite cell method
cites work: The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries
cites work: Higher-order accurate integration of implicit geometries
cites work: Smart octrees: accurately integrating discontinuous functions in 3D
cites work: A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
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: 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: Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis
cites work: Non-negative moment fitting quadrature rules for fictitious domain methods
cites work: Selective enrichment of moment fitting and application to cut finite elements and cells
cites work: On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
cites work: Equivalent polynomials for quadrature in Heaviside function enriched elements
cites work: Equivalent Legendre polynomials: numerical integration of discontinuous functions in the finite element methods
cites work: The radial integration method for evaluation of domain integrals with boundary-only discretization.
cites work: An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods

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cites work: Efficient integration method for fictitious domain approaches

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Octree-based integration scheme with merged sub-cells for the finite cell method: application to non-linear problems in 3D (DOI)
DOI: 10.1016/J.CMA.2022.115565