[go: up one dir, main page]
More Web Proxy on the site http://driver.im/

Duczek et al., 2016 - Google Patents

The finite cell method for polygonal meshes: poly-FCM

Duczek et al., 2016

View PDF
Document ID
4007016355498423711
Author
Duczek S
Gabbert U
Publication year
Publication venue
Computational Mechanics

External Links

Snippet

In the current article, we extend the two-dimensional version of the finite cell method (FCM), which has so far only been used for structured quadrilateral meshes, to unstructured polygonal discretizations. Therefore, the adaptive quadtree-based numerical integration …
Continue reading at www.researchgate.net (PDF) (other versions)

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5018Computer-aided design using simulation using finite difference methods or finite element methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5009Computer-aided design using simulation
    • G06F17/5036Computer-aided design using simulation for analog modelling, e.g. for circuits, spice programme, direct methods, relaxation methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/20Finite element generation, e.g. wire-frame surface description, tesselation
    • G06T17/205Re-meshing
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/16Numerical modeling
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5086Mechanical design, e.g. parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/17Function evaluation by approximation methods, e.g. inter- or extrapolation, smoothing, least mean square method
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/50Computer-aided design
    • G06F17/5045Circuit design
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/30Polynomial surface description
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/05Geographic models
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/46Fuselage
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/02Component-based CAD
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2219/00Indexing scheme for manipulating 3D models or images for computer graphics
    • G06T2219/20Indexing scheme for editing of 3D models
    • G06T2219/2021Shape modification
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/005Tree description, e.g. octree, quadtree
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/78Power analysis and optimization
    • GPHYSICS
    • G06COMPUTING; CALCULATING; COUNTING
    • G06FELECTRICAL DIGITAL DATA PROCESSING
    • G06F2217/00Indexing scheme relating to computer aided design [CAD]
    • G06F2217/08Multi-objective optimization

Similar Documents

Publication Publication Date Title
Duczek et al. The finite cell method for polygonal meshes: poly-FCM
Kudela et al. Smart octrees: Accurately integrating discontinuous functions in 3D
Rank et al. Geometric modeling, isogeometric analysis and the finite cell method
Joulaian et al. Numerical integration of discontinuities on arbitrary domains based on moment fitting
Gain et al. Topology optimization using polytopes
Hyman et al. Mimetic finite difference methods for diffusion equations
Carey Computational grids: generations, adaptation & solution strategies
Moumnassi et al. Finite element analysis on implicitly defined domains: An accurate representation based on arbitrary parametric surfaces
Idelsohn et al. The meshless finite element method
Ivey et al. Accurate interface normal and curvature estimates on three-dimensional unstructured non-convex polyhedral meshes
Koschier et al. Robust extended finite elements for complex cutting of deformables
Gravenkamp et al. Automatic image-based analyses using a coupled quadtree-SBFEM/SCM approach
Braun et al. DOUAR: A new three-dimensional creeping flow numerical model for the solution of geological problems
Nguyen et al. Level set based shape optimization using trimmed hexahedral meshes
Gravenkamp et al. Scaled boundary polygons for linear elastodynamics
Henyš et al. Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation
Liao et al. Multi-core CPU or GPU-accelerated multiscale modeling for biomolecular complexes
Heltai et al. Propagating geometry information to finite element computations
Kambampati et al. Geometry design using function representation on a sparse hierarchical data structure
Gibson et al. Compatible Finite Element Methods for Geophysical Flows: Automation and Implementation Using Firedrake
Zhang et al. Direct point-cloud-based numerical analysis using octree meshes
Adzhiev et al. Hybrid cellular-functional modeling of heterogeneous objects
Manzoor et al. Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance
Brunero et al. Discontinuous Galerkin methods for isogeometric analysis
Kim et al. A hexahedral-dominant FE meshing technique using trimmed hexahedral elements preserving sharp edges and corners