Stabilized Lagrange interpolation collocation method: A meshfree method incorporating the advantages of finite element method
L Wang, M Hu, Z Zhong, F Yang - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Since most approximation functions in meshfree methods are rational functions which do not
possess the Kronecker delta property, how to achieve exact integration and accurately …
possess the Kronecker delta property, how to achieve exact integration and accurately …
An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects
L Deng, D Wang - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
A theoretical framework for the accuracy analysis of meshfree collocation methods is
presented with a particular focus on the effects of boundary conditions. In the proposed …
presented with a particular focus on the effects of boundary conditions. In the proposed …
Optimal parameters selection of back propagation algorithm in the feedforward neural network
L Wang, W Ye, Y Zhu, F Yang, Y Zhou - Engineering Analysis with …, 2023 - Elsevier
The back propagation (BP) is one of the most widely used algorithms in the feedforward
neural network (FNN), but selecting the non-optimal weights and thresholds may induce the …
neural network (FNN), but selecting the non-optimal weights and thresholds may induce the …
Analysis of a superconvergent recursive moving least squares approximation
J Wan, X Li - Applied Mathematics Letters, 2022 - Elsevier
The recursive moving least squares (MLS) approximation is a superconvergent technique
for constructing shape functions in meshless methods. Computational formulas, properties …
for constructing shape functions in meshless methods. Computational formulas, properties …
Static and dynamic analysis of thin functionally graded shell with in-plane material inhomogeneity
The static and dynamic problems of thin functionally graded shells (FGSs) with in-plane
material inhomogeneity are investigated in this work. Governing equations are derived …
material inhomogeneity are investigated in this work. Governing equations are derived …
A highly efficient and accurate Lagrangian–Eulerian stabilized collocation method (LESCM) for the fluid–rigid body interaction problems with free surface flow
A Lagrangian–Eulerian stabilized collocation method (LESCM) for the fluid–structure
interaction problems involving free surface flow is presented in this work, in which the …
interaction problems involving free surface flow is presented in this work, in which the …
A gradient reproducing kernel based stabilized collocation method for the static and dynamic problems of thin elastic beams and plates
The reproducing kernel (RK) approximation based direct collocation method (DCM) requires
the complex and time-consuming derivatives calculation of the approximation function, and …
the complex and time-consuming derivatives calculation of the approximation function, and …
Numerical homogenization of multi-layered corrugated cardboard with creasing or perforation
The corrugated board packaging industry is increasingly using advanced numerical tools to
design and estimate the load capacity of its products. This is why numerical analyses are …
design and estimate the load capacity of its products. This is why numerical analyses are …
A high-order accurate meshless method for solution of incompressible fluid flow problems
Meshless solution to differential equations using radial basis functions (RBF) is an
alternative to grid based methods commonly used. Since the meshless method does not …
alternative to grid based methods commonly used. Since the meshless method does not …
A novel meshfree strategy for a viscous wave equation with variable coefficients
A one-step new general mesh free scheme, which is based on radial basis functions, is
presented for a viscous wave equation with variable coefficients. By constructing a simple …
presented for a viscous wave equation with variable coefficients. By constructing a simple …