Enforcement of essential boundary conditions in meshless approximations using finite elements

From MaRDI portal

Publication:1372812

Jump to:navigation, search

DOI10.1016/0045-7825(95)00954-XzbMath0881.65098OpenAlexW2034340610MaRDI QIDQ1372812

Y. Krongauz, Ted Beltytschko

Publication date: 25 February 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00954-x

zbMATH Keywords

convergence finite element element-free Galerkin method meshless methods least squares approximations essential boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (only showing first 100 items - show all)

AN ENHANCEMENT OF FINITE ELEMENT METHOD WITH MOVING KRIGING SHAPE FUNCTIONS ⋮ MESHFREE METHODS AND THEIR COMPARISONS ⋮ DIRECT COUPLING OF EFGM-FEM AND EFGM-BEM FOR DYNAMIC SOIL-STRUCTURE INTERACTIONS ⋮ Unnamed Item ⋮ Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates ⋮ A Novel Pick-Out Theory and Technique for Constructing the Smoothed Derivatives of Functions for Numerical Methods ⋮ A meshless method coupling peridynamics with corrective smoothed particle method for predicting material failure ⋮ Machine Learning Surrogate Modeling for Meshless Methods: Leveraging Universal Approximation ⋮ A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in the multi-dimensional case ⋮ Essential boundary condition enforcement in meshless methods: boundary flux collocation method ⋮ Unnamed Item ⋮ FURTHER INVESTIGATION OF ELEMENT-FREE GALERKIN METHOD USING MOVING KRIGING INTERPOLATION ⋮ ESFLIB: A library to compute the element-free Galerkin shape functions ⋮ A unified stability analysis of meshless particle methods ⋮ Interpolating EFGM for computing continuous and discontinuous electromagnetic fields ⋮ On Adaptive Refinement Analysis for the Coupled Boundary Element Method—Reproducing Kernel Particle Method ⋮ Meshless analysis of shear deformable shells: boundary and interface constraints ⋮ Heat transfer analysis of composite slabs using meshless element free Galerkin method ⋮ Dealing with extremely large deformation by Nearest-Nodes FEM with algorithm for updating element connectivity ⋮ A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A new method for essential boundary conditions imposition in explicit meshless methods ⋮ Element-free Galerkin method for numerical simulation of sediment transport equations on regular and irregular distribution of nodes ⋮ A hybrid algorithm using the FEM-MESHLESS method to solve nonlinear structural problems ⋮ \(hp\)-cloud approximation of the Dirac eigenvalue problem: the way of stability ⋮ Admissible approximations for essential boundary conditions in the reproducing kernel particle method ⋮ The topology optimization design for continuum structures based on the element free Galerkin method ⋮ Analysis of thin plates by the element-free Galerkin method ⋮ Meshless methods: An overview and recent developments ⋮ \(hp\)-meshless cloud method ⋮ A natural neighbour method based on Fraeijs de Veubeke variational principle for materially non-linear problems ⋮ Partition of unity-based thermomechanical meshfree method for two-dimensional crack problems ⋮ An enhanced-strain error estimator for Galerkin meshfree methods based on stabilized conforming nodal integration ⋮ Consistent pseudo-derivatives in meshless methods ⋮ A four-point integration scheme with quadratic exactness for three-dimensional element-free Galerkin method based on variationally consistent formulation ⋮ Shape optimization using reproducing kernel particle method and an enriched genetic algorithm ⋮ Two-dimensional analysis of anisotropic crack problems using coupled meshless and fractal finite element method ⋮ Some observations on the enforcement of constraint equations in the EFG method ⋮ High-order Eulerian incompressible smoothed particle hydrodynamics with transition to Lagrangian free-surface motion ⋮ The boundary node method for three-dimensional linear elasticity ⋮ Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions ⋮ Spline-based meshfree method with extended basis ⋮ An element-free method for in-plane notch problems with anisotropic materials ⋮ Consistent element-free Galerkin method ⋮ Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method ⋮ The natural neighbour Petrov-Galerkin method for thick plates ⋮ Buckling analysis of Reissner-Mindlin plates subjected to in-plane edge loads using a shear-locking-free and meshfree method ⋮ An Overview on Meshfree Methods: For Computational Solid Mechanics ⋮ New concepts for moving least squares: an interpolating non-singular weighting function and weighted nodal least squares ⋮ An enrichment based new criterion for the simulation of multiple interacting cracks using element-free Galerkin method ⋮ Coupling of the mesh-free finite cloud method with the boundary element method: a collocation approach. ⋮ Elastic large deflection analysis of plates subjected to uniaxial thrust using meshfree Mindlin-Reissner formulation ⋮ A unified approach to the mathematical analysis of generalized RKPM, gradient RKPM, and GMLS ⋮ Improved incompressible smoothed particle hydrodynamics method for simulating flow around bluff bodies ⋮ Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions ⋮ A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity ⋮ Implementation of boundary conditions in BIEs-based meshless methods: a dual boundary node method ⋮ Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation ⋮ Kinematically admissible meshless approximation using modified weight function ⋮ Local Kronecker delta property of the MLS approximation and feasibility of directly imposing the essential boundary conditions for the EFG method ⋮ Imposition of essential boundary conditions by displacement constraint equations in meshless methods ⋮ Fracture analysis of cracked 2D planar and axisymmetric problems of magneto-electro-elastic materials by the MLPG coupled with FEM ⋮ An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions ⋮ The design and analysis of the generalized finite element method ⋮ Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method ⋮ Implementation of boundary conditions for meshless methods ⋮ Overview and recent advances in natural neighbour Galerkin methods ⋮ Aspects of the use of orthogonal basis functions in the element-free Galerkin method ⋮ Arbitrarily smooth generalized finite element approximations ⋮ A hybrid meshless local Petrov-Galerkin method for unbounded domains ⋮ New algorithm of coupling element-free Galerkin with finite element method ⋮ On the simulation of image-based cellular materials in a meshless style ⋮ Radial spline collocation method for static analysis of beams ⋮ Isogeometric enriched field approximations ⋮ A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions ⋮ Enhanced local maximum-entropy approximation for stable meshfree simulations ⋮ Conforming window functions for meshfree methods ⋮ An effective way to control numerical instability of a nonordinary state-based peridynamic elastic model ⋮ A generalized approximation for the meshfree analysis of solids ⋮ A fast moving least squares approximation with adaptive Lagrangian mesh refinement for large scale immersed boundary simulations ⋮ A meshless collocation method based on the differential reproducing kernel interpolation ⋮ A Hermite DRK interpolation-based collocation method for the analyses of Bernoulli-Euler beams and Kirchhoff-Love plates ⋮ Multilevel particle-partition of unity method ⋮ Topological aspects of meshless methods and nodal ordering for meshless discretizations ⋮ An extended meshfree method for boundary value problems ⋮ Positivity conditions in meshless collocation methods ⋮ Elimination of slip-locking in composite beam-column analysis by using the element-free Galerkin method ⋮ Implicit boundary method for analysis using uniform B-spline basis and structured grid ⋮ Continuum damage growth analysis using element free Galerkin method ⋮ Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement ⋮ An improved response function based stochastic meshless method for problems in elasto-statics ⋮ ELEMENT-FREE METHODS VS. MESH-LESS CAE ⋮ Coupled meshfree and fractal finite element method for mixed mode two-dimensional crack problems ⋮ On the completeness of meshfree particle methods ⋮ Quadratically consistent nodal integration for second order meshfree Galerkin methods ⋮ SPH with the multiple boundary tangent method ⋮ Meshless and analytical solutions to the time-dependent advection-diffusion-reaction equation with variable coefficients and boundary conditions ⋮ Meshfree analysis of two‐dimensional contaminant transport through unsaturated porous media using EFGM ⋮ Smoothed Galerkin methods using cell-wise strain smoothing technique

Cites Work

This page was built for publication: Enforcement of essential boundary conditions in meshless approximations using finite elements

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1372812&oldid=13518513"