Superconvergent gradient smoothing meshfree collocation method
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Publication:1986335
DOI10.1016/j.cma.2018.06.021zbMath1440.65255OpenAlexW2809385030MaRDI QIDQ1986335
Junchao Wu, Dongdong Wang, Jiarui Wang
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.06.021
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Cites Work
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- Quasi-convex reproducing kernel meshfree method
- A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- Mixed meshless local Petrov-Galerkin collocation method for modeling of material discontinuity
- Reproducing kernel element method. I: Theoretical formulation
- Stable particle methods based on Lagrangian kernels
- Meshfree point collocation method with intrinsic enrichment for interface problems
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- Numerical integration of the Galerkin weak form in meshfree methods
- Meshless methods: An overview and recent developments
- Nodal integration of the element-free Galerkin method
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- An \(h\)-\(p\) adaptive method using clouds
- The method of finite spheres
- Double grid diffuse collocation method
- Meshless methods based on collocation with radial basis functions
- A meshless, integration-free, and boundary-only RBF technique
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- The variational collocation method
- The use of the local truncation error for the increase in accuracy of the linear finite elements for heat transfer problems
- A meshfree method for inverse wave propagation using collocation and radial basis functions
- Reduced integration at superconvergent points in isogeometric analysis
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- A weighted collocation on the strong form with mixed radial basis approximations for incompressible linear elasticity
- An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods
- Second-order accurate derivatives and integration schemes for meshfree methods
- A gradient reproducing kernel collocation method for boundary value problems
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- Strain gradient stabilization with dual stress points for the meshfree nodal integration method in inelastic analyses
- An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
- Error analysis of collocation method based on reproducing kernel approximation
- A generalized approximation for the meshfree analysis of solids
- Optimal transportation meshfree approximation schemes for fluid and plastic flows
- ISOGEOMETRIC COLLOCATION METHODS
- Meshfree Particle Methods
- Subdomain radial basis collocation method for fracture mechanics
- Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- Reproducing kernel enhanced local radial basis collocation method
- Quadrature for meshless methods
- A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
- Subdomain radial basis collocation method for heterogeneous media
- Surfaces Generated by Moving Least Squares Methods
- A numerical method for heat transfer problems using collocation and radial basis functions
- The natural element method in solid mechanics
- Element‐free Galerkin methods
- A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
- THE PARTITION OF UNITY METHOD
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- A point interpolation meshless method based on radial basis functions
- Reproducing kernel particle methods
- Performance Comparison of Nodally Integrated Galerkin Meshfree Methods and Nodally Collocated Strong Form Meshfree Methods
- Construction of polygonal interpolants: a maximum entropy approach
