DOI10.1016/S0045-7825(96)01082-1zbMath0883.65089OpenAlexW2000043108MaRDI QIDQ1371793
Wing Kam Liu, Shaofan Li
Publication date: 14 December 1997
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01082-1
Numerical methods for nonlocal and fractional models,
A superconvergent isogeometric formulation for eigenvalue computation of three dimensional wave equation,
Stable and flux-conserved meshfree formulation to model shocks,
SOME EXAMPLES OF THE METHOD OF FINITE SPHERES WITH ENRICHMENT,
Dealing with extremely large deformation by Nearest-Nodes FEM with algorithm for updating element connectivity,
Enriched reproducing kernel particle method for fractional advection-diffusion equation,
Temporal stability of collocation, Petrov-Galerkin, and other non-symmetric methods in elastodynamics and an energy conserving time integration,
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The generalized product partition of unity for the meshless methods,
A meshless collocation method for the coupled analysis of functionally graded piezo-thermo-elastic shells and plates under thermal loads,
Moving least-square reproducing kernel methods. I: Methodology and convergence,
A meshless collocation method for the plane problems of functionally graded material beams and plates using the DRK interpolation,
Consistent pseudo-derivatives in meshless methods,
Uniform approximation of functions with discrete approximation functionals,
A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates,
A least squares recursive gradient meshfree collocation method for superconvergent structural vibration analysis,
A meshless local Petrov-Galerkin method for the time-dependent Maxwell equations,
\(n\)-best kernel approximation in reproducing kernel Hilbert spaces,
Fracture mechanics analysis using the wavelet Galerkin method and extended finite element method,
A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain,
A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation,
A class of second-derivatives in the smoothed particle hydrodynamics with 2nd-order accuracy and its application to incompressible flow simulations,
Reproducing polynomial particle methods for boundary integral equations,
Isogeometric convolution hierarchical deep-learning neural network: isogeometric analysis with versatile adaptivity,
Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond,
A fast object-oriented MATLAB implementation of the reproducing kernel particle method,
Corrected ALE-ISPH with novel Neumann boundary condition and density-based particle shifting technique,
Remarks on tension instability of Eulerian and Lagrangian corrected smooth particle hydrodynamics (CSPH) methods,
Smoothed particle hydrodynamics with diffusive flux for advection-diffusion equation with discontinuities,
A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity,
A unified approach to the mathematical analysis of generalized RKPM, gradient RKPM, and GMLS,
A gradient smoothing method (GSM) for fluid dynamics problems,
Unnamed Item,
A generalized moving least square reproducing kernel method,
Evaluation of the integral terms in reproducing kernel methods,
Reproducing kernel triangular B-spline-based FEM for solving PDEs,
Variational and momentum preservation aspects of smooth particle hydrodynamic formulations,
A meshless Galerkin method for Stokes problems using boundary integral equations,
Implementation of boundary conditions for meshless methods,
Approximation of parametric curves by moving least squares method,
Quasi-convex reproducing kernel meshfree method,
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition,
Asymptotically Compatible Reproducing Kernel Collocation and Meshfree Integration for Nonlocal Diffusion,
High-order finite volume methods and multiresolution reproducing kernels,
Super-convergence of reproducing kernel approximation,
Adaptive analysis of crack propagation in thin-shell structures via an isogeometric-meshfree moving least-squares approach,
A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation,
A meshless collocation method based on the differential reproducing kernel interpolation,
Discretization error associated with reproducing kernel methods: One-dimensional domains,
A Hermite DRK interpolation-based collocation method for the analyses of Bernoulli-Euler beams and Kirchhoff-Love plates,
A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier-Stokes-Korteweg equations,
An interpolating boundary element-free method for three-dimensional potential problems,
Reproducing kernel element method. I: Theoretical formulation,
Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy,
Flexible piecewise approximations based on partition of unity,
Asymptotically compatible reproducing kernel collocation and meshfree integration for the peridynamic Navier equation,
Error analysis of the reproducing kernel particle method,
Consistent weak forms for meshfree methods: full realization of \(h\)-refinement, \(p\)-refinement, and \(a\)-refinement in strong-type essential boundary condition enforcement,
Adaptive higher-order phase-field modeling of anisotropic brittle fracture in 3D polycrystalline materials,
On the kernel and particle consistency in smoothed particle hydrodynamics,
Two implicit meshless finite point schemes for the two-dimensional distributed-order fractional equation,
High-order central difference scheme for Caputo fractional derivative,
A Galerkin boundary node method and its convergence analysis,
Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids,
Free vibration analysis of plates using least-square-based finite difference method,
The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations,
Computer implementation of damage models by finite element and meshfree methods,
A wavelet multiresolution interpolation Galerkin method for targeted local solution enrichment,
A wavelet multi-resolution enabled interpolation Galerkin method for two-dimensional solids