Compatible Spatial Discretizations

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Douglas N. Arnold, Pavel B. Bochev, Richard B. Lehoucq, Roy A. Nicolaides, Mikhail Shashkov
Springer Science & Business Media, Jan 26, 2007 - Mathematics - 247 pages
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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.

 

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Contents

NUMERICAL CONVERGENCE OF THE MPFA OMETHOD FOR GENERAL QUADRILATERAL GRIDS IN TWO AND THREE DIMENSIONS
1
DIFFERENTIAL COMPLEXES AND STABILITY OF FINITE ELEMENT METHODS I THE DE RHAM COMPLEX
23
THE ELASTICITY COMPLEX
47
ON THE ROLE OF INVOLUTIONS IN THE DISCONTINUOUS GALERKIN DISCRETIZATION OF MAXWELL AND MAGNETOHYDRODYN...
69
PRINCIPLES OF MIMETIC DISCRETIZATIONS OF DIFFERENTIAL OPERATORS
89
COMPATIBLE DISCRETIZATIONS FOR EIGENVALUE PROBLEMS
121
CONJUGATED BUBNOVGALERKIN INFINITE ELEMENT FOR MAXWELL EQUATIONS
143
COVOLUME DISCRETIZATION OF DIFFERENTIAL FORMS
161
MIMETIC RECONSTRUCTION OF VECTORS
173
A CELLCENTERED FINITE DIFFERENCE METHOD ON QUADRILATERALS
189
DEVELOPMENT AND APPLICATION OF COMPATIBLE DISCRETIZATIONS OF MAXWELLS EQUATIONS
209
LIST OF WORKSHOP PARTICIPANTS
235
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