Cover image for Compatible spatial discretizations
Title:
Compatible spatial discretizations
Series:
IMA volumes in mathematics and its applications ; 142
Publication Information:
New York, NY : Springer, 2006
ISBN:
9780387309163

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30000010141972 QA377 C654 2006 Open Access Book Book
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Summary

Summary

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

Foreword
Preface
Numerical Convergence of the MPFA O-method for General Quadrilateral Grids in Two and Three Dimensions
Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex
Differential Complexes and Stability of Finite Element Methods II. The Elasticity Complex
On the Role of Involutions in the Discontinuous Galerkin Discretization of Maxwell and Magnetohydrodynamic Systems
Principles of Mimetic Discretizations of Differential Operators
Compatible Discretizations for Eigenvalue Problems
Conjugated Bubnov-Galerkin Infinite Element for Maxwell equations
Covolume Discretization of Differential Forms
Mimetic Reconstruction of Vectors
A Cell-Centered Finite Difference Method on Quadrilaterals
Development and Application of Compatible Discretizations of Maxwell's Equations