Personne
Edoardo Paganoni
Cette personne n’est plus à l’EPFL
Publications associées (8)
An Elliptic Local Problem With Exponential Decay Of The Resonance Error For Numerical Homogenization
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
Numerical multiscale methods usually rely on some coupling between a macroscopic and a microscopic model. The macroscopic model is incomplete as effective quantities, such as the homogenized material coefficients or fluxes, are missing in the model. These ...
SIAM PUBLICATIONS2023A parabolic local problem with exponential decay of the resonance error for numerical homogenization
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
This paper aims at an accurate and efficient computation of effective quantities, e.g. the homogenized coefficients for approximating the solutions to partial differential equations with oscillatory coefficients. Typical multiscale methods are based on a m ...
WORLD SCIENTIFIC PUBL CO PTE LTD2021Novel corrector problems with exponential decay of the resonance error for numerical homogenization
Multiscale problems, such as modelling flows through porous media or predicting the mechanical properties of composite materials, are of great interest in many scientific areas. Analytical models describing these phenomena are rarely available, and one mus ...
EPFL2020MATHICSE technical Report : A parabolic local problem with exponential decay of the resonance error for numerical homogenization
Doghonay Arjmand, Edoardo Paganoni
This paper aims at an accurate and ecient computation of eective quantities, e.g., the homogenized coecients for approximating the solu- tions to partial dierential equations with oscillatory coecients. Typical multiscale methods are based on a micro-macro ...
MATHICSE2020MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
A central question in numerical homogenization of partial differential equations with multiscale coefficients is the accurate computation of effective quantities, such as the homogenized coefficients. Computing homogenized coefficients requires solving loc ...
EPFL2020MATHICSE Technical Report : An elliptic local problem with exponential decay of the resonance error for numerical homogenization
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
multiscale methods homogenization resonance error ...
MATHICSE2020Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
This paper presents two new approaches for finding the homogenized coefficients of multiscale elliptic PDEs. Standard approaches for computing the homogenized coefficients sufer from the so-called resonance error, originating from a mismatch between the tr ...
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER2019MATHICSE Technical Report : Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems
Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
This paper presents two new approaches for finding the homogenized coefficients of multiscale elliptic PDEs. Standard approaches for computing the homogenized coefficients suffer from the so-called resonance error, originating from a mismatch between the t ...
MATHICSE2019