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meshfree methods

N. Sukumar's picture

Exact imposition of boundary conditions in physics-informed neural networks

We recently proposed a method that uses distance fields to exactly impose boundary conditions in physics-informed neural networks (PINN).  This contribution is available as an arXiv preprint.

Alejandro Ortiz-Bernardin's picture

A volume-averaged nodal projection method for the Reissner-Mindlin plate model

We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and transverse displacement) and is devoid of shear-locking.

N. Sukumar's picture

Minisymposium at PANACM 2015: Smooth Approximations on Unstructured Meshes

As part of the 1st Pan-American Congress on Computational Mechanics (April 27-29, 2015 in Buenos Aires, Argentina), Marino Arroyo and I are organizing a minisymposium - ``Smooth Approximations on Unstructured Nodal Discretizations: Finite Elements, Spline-based Techniques and Meshfree.'' The deadline for abstract submissions is November 20, 2014.

Ettore Barbieri's picture

PhD Studentship available at Queen Mary, University of London in the SEMS

Research Studentship (PhD) in Computational Material Science: the topic is computational nano mechanics and concurrent multiscale methods for composites under impact loading.

Johannes T.B. Overvelde's picture

MLPG mixed collocation essential BC

I am currently implementing some meshfree methods in Matlab. I have already implemented the EFG method. Now I'm trying to implement the MLPG mixed collocation method, and here I run into a problem.

ICCM 2010 Minisymposium on Meshfree and Particle Methods (November 19th-21st, Zhangjiajie, Hunan Province, China)

Hi All,

A minisymposium on Meshfree and Particle Methods will be organized for the International
Conference on Computational Methods (ICCM) 2010. ICCM 2010 will be organized and hosted by
College of Mechanical & Vehicle Engineering, Hunan University during November 19th-21st, 2010 in
Zhangjiajie, Hunan Province, China. Please check the ICCM 2010 website for more information about the conference and the venue.

CanhLe's picture

EFG code!

Hi all,

The beginers to the EFG method may get quick start inside the method through the simple EFG code for bars and beams here !


 Canh Le


Constrained Moving Least Squares (CMLS) Method


I wish to ask where to find more references about application of constrained moving least squares method for imposing displacement bounday conditions in meshless methods. The most important advantage of CMLS over MLS is satisfying Kronecker delta function property, Hence such as finite element methods we can impose the essential boundary conditions in meshless method using CMLS approach.

Thank you,

Jafar Amani

N. Sukumar's picture

Fortran 90 library for maximum-entropy basis functions

Attached is a tar archive for a Fortran 90 library to compute maximum-entropy basis functions.  I have used the G95 compiler. The manual in PDF is also attached and a html version of the same is also available, which provide details on how to install the code and its capabilities.

Coupling meshfree and Finite element methods

I just wanted to know if i can consider one part of a FE model as a meshless part and form the global stiffness matrix just by assembling the meshfree stiffness matrix corresponding to the meshfree zone and the FE stiffness matrix of the rest. And then apply the boundary conditions to the model and solve. I would use RKPM to generate the meshfree stiffness matrix. 

Luming Shen's picture

PhD Scholarship - Monash University, Australia

An Australian Research Council funded PhD Scholarship is available in the Department of Civil Engineering at Monash University in Australia in the area of computational mechanics. The objective of this project is to develop a multi-scale bifurcation-based decohesion model within the framework of the Material Point Method (MPM), one of the meshfree methods, for simulating glass fragmentation under blast loading.

Marino Arroyo's picture

Maximum-Entropy approximants Matlab routines

Dear iMechanica colleagues,

I would like to announce that Matlab routines implementing the maximum-entropy approximation schemes presented in

Marino Arroyo and Michael Ortiz, “Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods”, International Journal for Numerical Methods in Engineering, 65:2167–2202 (2006).

can be downloaded from

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