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 …

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 …

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

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 …

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 …

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 …

In this work, the fast-convolving reproducing kernel particle method (FC-RKPM) is
introduced. This method is hundreds to millions of times faster than the traditional RKPM for …

This study introduces an innovative dynamic infinite meshfree method for robust and efficient
solutions to half-space problems. This approach seamlessly couples this method with 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 …