721 citations · 1.8k across the 37 of their papers we have counts for
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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…
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…
A goal-oriented reduced basis method for the wave equation in inverse analysis
Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas
In this paper, we extend the reduced-basis methods developed earlier for wave equations to goal-oriented wave equations with affine parameter dependence. The essential new ingredie…
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…
Space-time goal-oriented reduced basis approximation for linear wave equation
Khac Chi Hoang, Pierre Kerfriden, Stephane P. A. Bordas
In this paper, we study numerically the linear damped second-order hyperbolic partial differential equation (PDE) with affine parameter dependence using a goal-oriented approach by…
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…
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…