Augmented numerical manifold method with implementation of flat-top partition of unity
type: Item
instance of: scholarly article
title: Augmented numerical manifold method with implementation of flat-top partition of unity
zbMATH Open document ID: 1403.65136
author: Lei He
author: Xiaoying Liu
author: Xinmei An
author: Zhi-Ye Zhao
author: Sheng-Qi Yang
published in: Engineering Analysis with Boundary Elements
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6915119
zbMATH Keywords: numerical manifold method
zbMATH Keywords: linear dependence problem
zbMATH Keywords: flat-top partition of unity
zbMATH Keywords: finite element partition of unity
zbMATH Keywords: high-order polynomial approximation
describes a project that uses: 3D-DDA
MaRDI profile type: Publication
full work available at URL: j.enganabound.2015.07.009
OpenAlex ID: W1180132239
cites work: A new cloud-based \(hp\) finite element method
cites work: Elastic crack growth in finite elements with minimal remeshing
cites work: A finite element method for crack growth without remeshing
cites work: Q4494596
cites work: The design and analysis of the generalized finite element method
cites work: THE PARTITION OF UNITY METHOD
cites work: The smooth piecewise polynomial particle shape functions corresponding to patch-wise non-uniformly spaced particles for meshfree particle methods
cites work: Finite cover method for linear and non-linear analyses of heterogeneous solids
cites work: Modeling complex crack problems using the numerical manifold method
cites work: Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media
cites work: Development of 3D numerical manifold method
cites work: A new way to treat material discontinuities in the numerical manifold method
cites work: Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
cites work: New strategies for some issues of numerical manifold method in simulation of crack propagation
cites work: A three-dimensional large deformation meshfree method for arbitrary evolving cracks
cites work: Cracking particles: a simplified meshfree method for arbitrary evolving cracks
cites work: An extended isogeometric thin shell analysis based on Kirchhoff-love theory
cites work: Finite strain fracture of plates and shells with configurational forces and edge rotations
cites work: Generalizations of the finite element method
cites work: The method of finite spheres
cites work: An \(h\)-\(p\) adaptive method using clouds
cites work: The piecewise polynomial partition of unity functions for the generalized finite element methods
cites work: The mixed-cell-complex partition-of-unity method
cites work: Linear dependence problems of partition of unity-based generalized FEMs
cites work: Generalized nodes and high-performance elements
cites work: Advanced 4-node tetrahedrons
cites work: A ``FE-meshfree'' QUAD4 element based on partition of unity
cites work: A new partition of unity finite element free from the linear dependence problem and possessing the delta property
cites work: Mesh based construction of flat-top partition of unity functions
cites work: Coupling flat-top partition of unity method and finite element method
cites work: A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
cites work: A Particle-Partition of Unity Method--Part III: A Multilevel Solver
cites work: The generalized product partition of unity for the meshless methods
cites work: A mesh-based partition of unity method for discontinuity modeling
cites work: Discontinuous deformation analysis based on variational inequality theory
cites work: Implementation of the finite element method in the three-dimensional discontinuous deformation analysis (3D-DDA)
cites work: Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
cites work: Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods
DOI: 10.1016/J.ENGANABOUND.2015.07.009
description: scientific article; zbMATH DE number 6915119