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Main Data
Author: Douglas N. Arnold, Pavel B. Bochev, Richard B. Lehoucq
Editor: Douglas N. Arnold, Pavel B. Bochev, Richard B. Lehoucq, Roy A. Nicolaides, Mikhail Shashkov
Title: Compatible Spatial Discretizations
Publisher: Springer-Verlag
ISBN/ISSN: 9780387380346
Edition: 1
Price: CHF 172.40
Publication date: 01/01/2007
Content
Category: Mathematics
Language: English
Technical Data
Pages: 247
Kopierschutz: DRM
Geräte: PC/MAC/eReader/Tablet
Formate: PDF
Table of contents

The IMA Hot Topics workshop on compatible spatialdiscretizations was held in 2004. This volume contains original contributions based on the material presented there. A unique feature is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science. Abstracts and presentation slides from the workshop can be accessed on the internet.

Table of contents
FOREWORD6
PREFACE7
CONTENTS12
NUMERICAL CONVERGENCE OF THE MPFA O-METHOD FOR GENERAL QUADRILATERAL GRIDS IN TWO AND THREE DIMENSIONS14
DIFFERENTIAL COMPLEXES AND STABILITY OF FINITE ELEMENT METHODS I. THE DE RHAM COMPLEX35
DIFFERENTIAL COMPLEXES AND STABILITY OF FINITE ELEMENT METHODS II: THE ELASTICITY COMPLEX59
ON THE ROLE OF INVOLUTIONS IN THE DISCONTINUOUS GALERKIN DISCRETIZATION OF MAXWELL AND MAGNETOHYDRODYNAMIC SYSTEMS80
PRINCIPLES OF MIMETIC DISCRETIZATIONS OF DIFFERENTIAL OPERATORS100
COMPATIBLE DISCRETIZATIONS FOR EIGENVALUE PROBLEMS131
CONJUGATED BUBNOV-GALERKIN INFINITE ELEMENT FOR MAXWELL EQUATIONS153
COVOLUME DISCRETIZATION OF DIFFERENTIAL FORMS170
MIMETIC RECONSTRUCTION OF VECTORS181
A CELL-CENTERED FINITE DIFFERENCE METHOD ON QUADRILATERALS197
DEVELOPMENT AND APPLICATION OF COMPATIBLE DISCRETIZATIONS OF MAXWELL'S EQUATIONS216
LIST OF WORKSHOP PARTICIPANTS242