Publication

Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni
2019
Journal Articles

Abstract

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 true and the computational boundary conditions. Our new methods, based on solutions of parabolic and elliptic cell-problems, result in an exponential decay of the resonance error.

Official source

https://infoscience.epfl.ch/entities/publication/51161807-e78c-424b-b94a-aad51b0f9628

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Exponential decay of the resonance error in numerical homogenization via parabolic and elliptic cell problems

Chat with Graph Search

An Elliptic Local Problem With Exponential Decay Of The Resonance Error For Numerical Homogenization

Two-dimensional Pure Isotropic Proton Solid State NMR

Single Chip Dynamic Nuclear Polarization Microsystems