Second-order accurate derivatives and integration schemes for meshfree methods
From MaRDI portal
Publication:2952108
DOI10.1002/nme.4359zbMath1352.65390OpenAlexW1577214139MaRDI QIDQ2952108
Qinglin Duan, Ted Beltytschko, Xi-Kui Li, Hong-Wu Zhang
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4359
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Theoretical Analysis of the Reproducing Kernel Gradient Smoothing Integration Technique in Galerkin Meshless Methods, Improved integration scheme for the second-order consistent element-free Galerkin method, An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods, Improved robustness for nearly-incompressible large deformation meshfree simulations on Delaunay tessellations, A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity, An efficient nodal integration with quadratic exactness for three-dimensional meshfree Galerkin methods, A linear smoothed higher-order CS-FEM for the analysis of notched laminated composites, A four-point integration scheme with quadratic exactness for three-dimensional element-free Galerkin method based on variationally consistent formulation, An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature, Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates, A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates, Nodally integrated thermomechanical RKPM. I: Thermoelasticity, A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis, Consistent integration schemes for meshfree analysis of strain gradient elasticity, An arbitrary order variationally consistent integration for Galerkin meshfree methods, Consistent element-free Galerkin method, Gradient correction for polygonal and polyhedral finite elements, An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics, Effect of an efficient numerical integration technique on the element-free Galerkin method, Stabilized Lagrange interpolation collocation method: a meshfree method incorporating the advantages of finite element method, An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects, A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems, Meshless fragile points method (FPM) in a 2D and 3D potential compressible subsonic fluid flow, A consistent projection integration for Galerkin meshfree methods, Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons, On the meshfree particle methods for fluid-structure interaction problems, An efficient and quadratic accurate linear-gradient smoothing integration scheme for meshfree Galerkin methods, A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate, An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis, Quadratically consistent one-point (QC1) quadrature for meshfree Galerkin methods, A two-level nesting smoothed meshfree method for structural dynamic analysis, A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions, Superconvergent gradient smoothing meshfree collocation method, A volume-averaged nodal projection method for the Reissner-Mindlin plate model, Veamy: an extensible object-oriented C++ library for the virtual element method, Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement, A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation, An efficient meshfree gradient smoothing collocation method (GSCM) using reproducing kernel approximation, An accuracy analysis of Galerkin meshfree methods accounting for numerical integration, Quadratically consistent nodal integration for second order meshfree Galerkin methods, A nesting cell-based smoothed radial point interpolation method with two-level smoothed strains for static, free and forced vibration analysis of solids, Variationally consistent domain integration for isogeometric analysis, Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions, A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method, A stabilised mixed meshfree method for incompressible media: application to linear elasticity and Stokes flow, Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable particle methods based on Lagrangian kernels
- Imposing essential boundary conditions in mesh-free methods
- A smoothed finite element method for mechanics problems
- Quasi-conforming element techniques for penalty finite element methods
- Nodal integration of the element-free Galerkin method
- Consistent pseudo-derivatives in meshless methods
- A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
- Formulation of Quasi-Conforming element and Hu-Washizu principle
- A new support integration scheme for the weakform in mesh-free methods
- Theoretical aspects of the smoothed finite element method (SFEM)
- Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method
- Convergence and stabilization of stress-point integration in mesh-free and particle methods
- Smooth finite element methods: Convergence, accuracy and properties
- A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
- Meshfree and finite element nodal integration methods
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- Element‐free Galerkin methods
- STRESS POINTS FOR TENSION INSTABILITY IN SPH
- An approach for tension instability in smoothed particle hydrodynamics (SPH)
- Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods