Generalized FEM for Homogenization Problems
We introduce the concept of generalized Finite Element Method (gFEM) for the numerical treatment of homogenization problems. These problems are characterized by highly oscillatory periodic (or patchwise periodic) pattern in the coefficients of the differe
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Springer-Verla g Berli n Heidelber g Gmb H
Timothy J. Barth Tony Chan Robert Haimes Editors
Multiscale and Multi resolution Methods Theory and Applications
Wit h 11 8 Figures , 11 i n Colo r
mgn Springer
Editors Timoth y J. Bart h NASA Arne s Research Center NAS Divisio n Moffet t Field , CA 94035, USA e-mail : [email protected] v Ton y Chan Departmen t of Mathematic s Universit y of Californi a Los Angeles, CA 90095-1555 , USA e-mail : [email protected] u Rober t Haime s Departmen t of Aeronautic s and Astronautic s MI T - 37-467 Cambridge , M A 0213 9 e-mail : [email protected]
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Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Multiscale and multiresolution methods: theory and applications / Timothy J. Barth... ed.. - Berlin; Heidelberg; New York; Barcelona; Hong Kong; London ; Milan ; Paris ; Tokyo : Springer, 2002 (Lecture notes in computational science and engineering; Vol. 20) ISBN 978-3-540-42420-8 Mathematic s Subject Classificatio n (2000): 35B27,42C40 , 65D15 , 65T6o, 68U10,76M50, 80M40,94A08 ISSN 1439-735 8 ISBN 978-3-540-42420-8 DOI 10.1007/978 -3-642-56205-1
ISBN 978-3-642-56205-1 (eBook)
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Preface
Many comput ationally challenging probl ems ubiqui tous t hroughout science and engineering exhibit multiscale phenomena so t hat t he prospect of numerically computing or even repr esenting all scales of act ion is eit her very expensive or completely intractable. Some examples of pr actical interest includ e fluid turbulence at large Reynolds numb er, weath er forecastin g, flow t hrough porous media, spr ay combust ion and detonati on, st ructural analysis of composite and foam mat erials, many-body galaxy formati on, lar ge s
