N. Sukumar's blog

CISM Advanced Course on ``Virtual Elements for Problems in Mechanics'' in Udine, Italy (October 16-20, 2023)

Submitted by N. Sukumar on Mon, 09/04/2023 - 12:55

Dear All,

A CISM Advanced Course on Virtual Elements for Problems in Mechanics will be held from October 16-20, 2023 in Udine, Italy. The lecturers for the course are: Edoardo Artioli, Lourenco Beirao da Veiga. Joze Korelc, Alessandro Russo, N. Sukumar and Peter Wriggers. Both on-site participation (reg. fees Euro 600) and online participation (reg. fees Euro 250) is possible. The registration closes on September 16th.

Short Course on the VEM at USNCCM17

Submitted by N. Sukumar on Thu, 07/06/2023 - 20:57

research

Hello All,

Gianmarco Manzini (LANL) and I are teaching a short course entitled: "Virtual Element Method in Solid and Fluid Mechanics" at USNCCM17 in Albuquerque, which will be held on Sunday, July 23rd, 2023. If you plan to be at the conference in-person, then do consider attending the short course. A summary of the course follows:

Exact imposition of boundary conditions in physics-informed neural networks

Submitted by N. Sukumar on Sat, 05/01/2021 - 03:41

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.

Special Issue on GBCs in CAGD

Submitted by N. Sukumar on Thu, 11/01/2018 - 04:20

research

generalized barycentric coordinates

polyhedra

computer graphics

computational mechanics

Special issue

In 2019, Elsevier CAGD will be publishing a special issue on ``Generalized Barycentric Coordinates,'' edited by Michael S. Floater (University of Oslo), Kai Hormann (University of Lugano), and myself.

If you expect to have any new contribution in this area, then please do consider submitting a paper to this special issue.

All the details about the special issue can be found in the attached ``Call for Papers.''

Please do not hesitate to contact me if you have any questions.

Best wishes,

-suku.

Perspective article on the X-FEM in computational fracture

Submitted by N. Sukumar on Sat, 12/19/2015 - 06:59

research

elastic fracture

strong discontinuities

singularities

cracks

partition-of-unity enrichment

X-FEM

Abstract: In this paper, we provide a retrospective examination of the developments and applications of the extended finite element method (X-FEM) in computational fracture mechanics. Our main attention is placed on the modeling of cracks (strong discontinuities) for quasistatic crack growth simulations in isotropic linear elastic continua.

Faults simulations for three-dimensional reservoir-geomechanical models with the X-FEM

Submitted by N. Sukumar on Sat, 10/10/2015 - 20:13

J.-H. Prevost and N. Sukumar

Minisymposium at PANACM 2015: Smooth Approximations on Unstructured Meshes

Submitted by N. Sukumar on Tue, 11/11/2014 - 01:33

conference

unstructured mesh

smooth basis functions

B-splines

meshfree methods

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.

Gradient bounds for Wachspress shape functions on polytopes

Submitted by N. Sukumar on Wed, 06/26/2013 - 10:46

research

Wachspress coordinates

convex polyhedra

interpolation estimate

In this contribution (see http://arxiv.org/abs/1306.4385), we derive lower and upper bounds for Wachspress coordinates over any simple d-dimensional simple convex polytope. Numerical results for the Poisson equation on nontrivial polyhedral meshes are presented that affirm the linear rate of convergence in the energy seminorm of the polyhedral finite element method. Matlab code to compute the Wachspress shape functions and its gradient on convex polygonal and polyhedral elements is also provided.

Minisymposium on Electronic-Structure Methods at USNCCM12

Submitted by N. Sukumar on Wed, 02/20/2013 - 03:15

conference

finite elements

electronic structure

density functional theory

Dear Colleagues:

We would like to invite you to submit a contribution to a minisymposium that we are organizing on Emerging Methods for Large-Scale Quantum-Mechanical Materials Calculations at the 12th US National Congress on Computational Mechanics, to be held July 22-25, 2013 in Raleigh, NC. This minisymposium aims to bring together leading researchers in this emerging area to discuss and exchange ideas on new methods developments for density-functional calculations, mathematical analysis, and applications of ab initio methods in electronic-structure calculations.