A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures

A new strategy for 3D non-persistent crack propagation by the numerical manifold method with tetrahedral meshes ⋮ The MLS-based numerical manifold method for Darcy flow in heterogeneous porous media ⋮ GMLS-based numerical manifold method in mechanical analysis of thin plates with complicated shape or cutouts ⋮ Static and dynamic analysis of plane elasticity using complex Fourier manifold method based on numerical improvement of Gauss-Legendre quadrature techniques

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Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems
A comparative study on the performance of meshless approximations and their integration
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
Numerical integration of the Galerkin weak form in meshfree methods
An explicit time integration scheme of numerical manifold method
Three-dimensional fracture propagation with numerical manifold method
Structured mesh refinement in MLS-based numerical manifold method and its application to crack problems
Hybrid analytical and MLS-based NMM for the determination of generalized stress intensity factors
A modified numerical manifold method for simulation of finite deformation problem
Hydraulic fracturing modeling using the enriched numerical manifold method
Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry
A rigorous and unified mass lumping scheme for higher-order elements
Three-dimensional MLS-based numerical manifold method for static and dynamic analysis
Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
S-R decomposition based numerical manifold method
Reformulation of dynamic crack propagation using the numerical manifold method
Fracture modeling of isotropic functionally graded materials by the numerical manifold method
XLME interpolants, a seamless bridge between XFEM and enriched meshless methods
Modeling bimaterial interface cracks using the numerical manifold method
Scattered node compact finite difference-type formulas generated from radial basis functions
An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods
Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
A new weight-function enrichment in meshless methods for multiple cracks in linear elasticity
An arbitrary order variationally consistent integration for Galerkin meshfree methods
Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
New strategies for some issues of numerical manifold method in simulation of crack propagation
An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
Numerical simulation of multiple crack growth in brittle materials with adaptive remeshing
Element‐free Galerkin methods
A truly meshless Galerkin method based on a moving least squares quadrature
The partition of unity quadrature in meshless methods
Reproducing kernel particle methods
Analytical trial function method for development of new 8‐node plane element based on the variational principle containing Airy stress function
Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods
Cracking particles: a simplified meshfree method for arbitrary evolving cracks