A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
From MaRDI portal
Publication:1655849
DOI10.1016/j.enganabound.2017.03.007zbMath1403.65217OpenAlexW4249857036MaRDI QIDQ1655849
Ean Tat Ooi, Chongmin Song, Sundararajan Natarajan, Albert A. Saputra
Publication date: 10 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.03.007
polyhedrascaled boundary finite element methodboundary integrationpolygonal finite element methodWachspress shape functions
Related Items (18)
Virtual element methods for nonlocal parabolic problems on general type of meshes ⋮ A phase-field cohesive zone model integrated with cell-based smoothed finite element method for quasi-brittle fracture simulations of concrete at mesoscale ⋮ Revised SBFEM on arbitrary polygons and faceted polyhedrons with the second order completeness by elimination of bubble functions ⋮ NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources ⋮ An approach integrating BIM, octree and FEM-SBFEM for highly efficient modeling and seismic damage analysis of building structures ⋮ Three‐dimensional spline scaled boundary finite elements with high‐order completeness ⋮ Development of ABAQUS UEL/VUEL subroutines for scaled boundary finite element method for general static and dynamic stress analyses ⋮ Virtual element method for a nonlocal elliptic problem of Kirchhoff type on polygonal meshes ⋮ An efficient and rapid numerical quadrature to generate element matrices for quadrilateral and hexahedral elements in functionally graded materials (FGMs) ⋮ Distributed PINN for Linear Elasticity — A Unified Approach for Smooth, Singular, Compressible and Incompressible Media ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ A polyhedral scaled boundary finite element method for three-dimensional dynamic analysis of saturated porous media ⋮ Implementation of the virtual element method for coupled thermo-elasticity in Abaqus ⋮ Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods ⋮ Virtual element method for semilinear elliptic problems on polygonal meshes ⋮ A combined virtual element method and the scaled boundary finite element method for linear elastic fracture mechanics ⋮ A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation ⋮ A dual scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing
- A matrix function solution for the scaled boundary finite-element equation in statics
- Mesh free Galerkin method based on natural neighbors and conformal mapping
- The scaled boundary finite-element method - alias consistent infinitesimal finite-element cell method - for elastodynamics
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- Gauss-Green cubature and moment computation over arbitrary geometries
- Adaptively weighted numerical integration over arbitrary domains
- Barycentric coordinates for convex sets
- A displacement-based finite element formulation for general polyhedra using harmonic shape functions
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- Adaptive h‐refinement on 3D unstructured grids for transient problems
- OCTREE-BASED HEXAHEDRAL MESH GENERATION
- A new 3D finite element for adaptive h‐refinement in 1‐irregular meshes
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- The Hitchhiker's Guide to the Virtual Element Method
- Generalized Gaussian quadrature rules on arbitrary polygons
- Gradient Bounds for Wachspress Coordinates on Polytopes
- Elasticity
This page was built for publication: A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra