activity
20112024
most citedIsogeometric analysis: an overview and computer implementation aspects

721 citations · 1.8k across the 37 of their papers we have counts for

collaborators
Showing 2013 · math.NAShow all

5 papers · 2 filters

math.NA2013

Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method

Octavio Andrés González Estrada, Juan José Ródenas García, Stéphane Bordas +3

Goal oriented error estimation and adaptive procedures are essential for the accurate and efficient evaluation of numerical simulations that involve complex domains. By locally imp…

math.NA2013★ 16 cited

Nitsche's method method for mixed dimensional analysis: conforming and non-conforming continuum-beam and continuum-plate coupling

Vinh Phu Nguyen, Pierre Kerfriden, Susanne Claus +1

A Nitche's method is presented to couple different mechanical models. They include coupling of a solid and a beam and of a solid and a plate. Both conforming and non-conforming for…

math.NA2013★ 75 cited

Isogeometric cohesive elements for two and three dimensional composite delamination analysis

Vinh Phu Nguyen, Pierre Kerfriden, Stephane Bordas

Isogeometric cohesive elements are presented for modeling two and three dimensional delaminated composite structures. We exploit the knot insertion algorithm offered by NURBS (Non…

math.NA2013

An Isogeometric Boundary Element Method for elastostatic analysis: 2D implementation aspects

R. N. Simpson, S. P. A. Bordas, H. Lian +1

The concept of isogeometric analysis, whereby the parametric func- tions that are used to describe CAD geometry are also used to approx- imate the unknown fields in a numerical dis…

math.NA2013★ 1 cited

Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error

Pierre Kerfriden, Juan José Ródenas García, Stéphane Pierre-Alain Bordas

In this paper, we propose upper and lower error bounding techniques for reduced order modelling applied to the computational homogenisation of random composites. The upper bound re…