Meshfree methods such as reproducing kernel (RK) approximation are suitable for modeling
fluid flow problems because of their flexibility in controlling local smoothness and order of …

A rotation-free Hellinger-Reissner meshfree thin plate formulation is proposed to naturally
accommodate the essential boundary conditions in a variationally consistent way. In this …

The stabilized conforming nodal integration (SCNI) is currently widely employed in Galerkin
meshfree formulation. A key ingredient of SCNI is the strain or gradient smoothing defined …

Meshfree and Particle Methods Provides thorough coverage of essential concepts and state-
of-the-art developments in the field Meshfree and Particle Methods is the first book of its kind …

无网格法具有高阶连续光滑的形函数, 在结构分析中呈现出显著的精度优势.
但无网格形函数在节点处一般没有插值性, 导致伽辽金无网格法难以直接施加本质边界条件 …

This paper presents an interpolation scheme applicable to meshless/mesh-based methods.
The formulation is capable of generating ordinary as well as non-negative shape functions …

Galerkin meshfree methods with arbitrary order smooth shape functions exhibit superior
accuracy advantages in structural analysis. However, the smooth meshfree shape functions …

Meshfree methods offer significant flexibility in discretizing partial differential equations,
including arbitrary smoothness uncoupled with the order of the approximation, and the …

In many applications, domains of interest are geometrically complex containing numerous
small features. These features are typically removed in a manual process to facilitate a …

In this two-part paper, a stable and efficient nodally-integrated reproducing kernel particle
method (RKPM) is introduced for solving the governing equations of generalized …