A Hermite DRK interpolation-based collocation method for the analyses of Bernoulli-Euler beams and Kirchhoff-Love plates

DOI10.1007/s00466-010-0552-7zbMath1398.74456OpenAlexW2020558579MaRDI QIDQ537564

Syuan-Mu Chen, Chih-Ping Wu, Yung-Ming Wang

Publication date: 20 May 2011

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0552-7

zbMATH Keywords

interpolationcollocationreproducing kernelsmeshless methodsplatesKronecker delta properties

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
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• Reproducing kernel element method. I: Theoretical formulation
• Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies
• Reproducing kernel element method. III: Generalized enrichment and applications
• Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy
• Hermite-Cloud: a novel true meshless method
• A meshless collocation method based on the differential reproducing kernel interpolation
• The generalized finite point method
• The reproducing kernel particle method for two-dimensional unsteady heat conduction problems
• An introduction to SPH
• Synchronized reproducing kernel interpolant via multiple wavelet expansion
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A mesh-free finite point method for advective-diffusive transport and fluid flow problems
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• Large deformation analysis of rubber based on a reproducing kernel particle method
• Moving least-square reproducing kernel methods. I: Methodology and convergence
• Meshless methods: An overview and recent developments
• Generalized multiple scale reproducing kernel particle methods
• Moving least-square reproducing kernel method. II: Fourier analysis
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• \(hp\)-meshless cloud method
• A stabilized finite point method for analysis of fluid mechanics problems
• Enforcement of essential boundary conditions in meshless approximations using finite elements
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• The method of finite spheres
• Meshless methods based on collocation with radial basis functions
• Development of a new meshless-point weighted least-squares (PWLS) method for computational mechanics
• Vibration analysis of laminated composite cylindrical panels via a meshfree approach.
• Point interpolation collocation method for the solution of partial differential equations
• Least‐squares collocation meshless method
• A DRK Interpolation-Based Collocation Method for the Analysis of Functionally Graded Piezoelectric Hollow Cylinders under Electro-Mechanical Loads
• Meshfree Particle Methods
• Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
• Element‐free Galerkin methods
• A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW
• Point collocation methods using the fast moving least-square reproducing kernel approximation
• Reproducing kernel particle methods
• A local point interpolation method for static and dynamic analysis of thin beams

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