Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Two-Scale Regularity for Homogenization Problems with Non-Smooth Fine Scale Geometry

by A. M. Matache and J. M. Melenk

(Report number 2002-08)

Abstract
Elliptic problems on unbounded domains with periodic coefficients and geometries are analyzed and two-scale regularity results for the solution are given. These are based on a detailed analysis in weighted Sobolev spaces of the so-called unit-cell problem, in which the critical parameters (the period $\epsilon$, the wavenumber t, and the differentiation order) enter explicitly.

Keywords:

@Techreport{MM02_294,
  author = {A. M. Matache and J. M. Melenk},
  title = {Two-Scale Regularity for Homogenization Problems with Non-Smooth Fine Scale Geometry},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-08},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-08.pdf },
  year = {2002}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).