Publications related to An a posteriori error estimator for isogeometric analysis on trimmed geometries

A posteriori error estimation for the steady Navier-Stokes equations in random domains

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

We consider finite element error approximations of the steady incompressible Navier-Stokes equations defined on a randomly perturbed domain, the perturbation being small. Introducing a random mapping, these equations are transformed into PDEs on a fixed re ...

Elsevier2017

MATHICSE Technical Report : A posteriori error estimators for hierarchical B-spline discretizations

Annalisa Buffa

In this article we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We prove a global upper bound for the energy error. Th ...

MATHICSE2017

A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics

Alfio Quarteroni, Andrea Manzoni

When relying on Newton iterations to solve nonlinear problems in the context of Reduced Basis (RB) methods, the assembling of the RB arrays during the online stage depends on the dimension of the underlying high-fidelity approximation. This is more of an i ...

Elsevier Science Sa2017

Fault Detection and Faulted Line Identification in Active Distribution Networks Using Synchrophasors-based Real-Time State Estimation

Mario Paolone, Paolo Romano, Marco Pignati, Lorenzo Zanni

We intend to prove that PMU-based state estimation processes for active distribution networks exhibit unique time determinism and refresh rate that make them suitable to satisfy the time-critical requirements of protections as well as the accuracy requirem ...

Institute of Electrical and Electronics Engineers2017

Guide de coupe pour arthroplastie de l’épaule

Maxime Pitteloud, Victor Jost, Ivan Samuel Sitruk, Damien Jaton, Matei Dan

Ce document est un rapport détaillé du travail effectué pour le projet d’ingénierie simultanée dans le cadre de la 3eme année de bachelor en Génie mécanique. La première partie de ce rapport donne les raisons de nos recherches sur le sujet. Lors des premiè ...

2017

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Fabio Nobile, Marco Picasso, Diane Sylvie Guignard

In this article, a finite element error analysis is performed on a class of linear and nonlinear elliptic problems with small uncertain input. Using a perturbation approach, the exact (random) solution is expanded up to a certain order with respect to a pa ...

2016

Reduced Basis Approximation And A Posteriori Error Estimates For Parametrized Elliptic Eigenvalue Problems

Andrea Manzoni, Nicola Parolini

We develop a new reduced basis (RB) method for the rapid and reliable approximation of parametrized elliptic eigenvalue problems. The method hinges upon dual weighted residual type a posteriori error indicators which estimate, for any value of the paramete ...

Edp Sciences S A2016

Estimation Error of the Constrained Lasso

Volkan Cevher, Yen-Huan Li, Ya-Ping Hsieh, Nissim Zerbib

This paper presents a non-asymptotic upper bound for the estimation error of the constrained lasso, under the high-dimensional (

n \ll p

) setting. In contrast to existing results, the error bound in this paper is sharp, is valid when the parameter to be e ...

2016

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Assyr Abdulle, Gilles Vilmart, Yun Bai

A reduced basis finite element heterogeneous multiscale method (RB-FE-HMM) for a class of nonlinear homogenization elliptic problems of nonmonotone type is introduced. In this approach, the solutions of the micro problems needed to estimate the macroscopic ...

Amer Inst Mathematical Sciences2015

MATHICSE Technical Report : Reduced order methods for uncertainty quantification problems

Alfio Quarteroni, Gianluigi Rozza, Peng Chen

This work provides a review on reduced order methods in solving uncertainty quantification problems. A quick introduction of the reduced order methods, including proper orthogonal decomposition and greedy reduced basis methods, are presented along with the ...

MATHICSE2015

An a posteriori error estimator for isogeometric analysis on trimmed geometries

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A posteriori error estimation for the steady Navier-Stokes equations in random domains

MATHICSE Technical Report : A posteriori error estimators for hierarchical B-spline discretizations

A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics

Fault Detection and Faulted Line Identification in Active Distribution Networks Using Synchrophasors-based Real-Time State Estimation

Guide de coupe pour arthroplastie de l’épaule

A posteriori error estimations for elliptic partial differential equations with small uncertainties

Reduced Basis Approximation And A Posteriori Error Estimates For Parametrized Elliptic Eigenvalue Problems

Estimation Error of the Constrained Lasso

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

MATHICSE Technical Report : Reduced order methods for uncertainty quantification problems

Fault Detection and Faulted Line Identification in Active Distribution Networks Using Synchrophasors-based Real-Time State Estimation

A posteriori error estimation for the steady Navier-Stokes equations in random domains

MATHICSE Technical Report : A posteriori error estimators for hierarchical B-spline discretizations

A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics

Guide de coupe pour arthroplastie de l’épaule

MATHICSE Technical Report : Reduced order methods for uncertainty quantification problems

Estimation Error of the Constrained Lasso

Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems

Reduced Basis Approximation And A Posteriori Error Estimates For Parametrized Elliptic Eigenvalue Problems

A posteriori error estimations for elliptic partial differential equations with small uncertainties