Compatible Spatial Discretizations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Arnold, Douglas N. (Editor), Bochev, Pavel B. (Editor), Lehoucq, Richard B. (Editor), Nicolaides, Roy A. (Editor), Shashkov, Mikhail (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: The IMA Volumes in Mathematics and its Applications, 142
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Applications of Mathematics.; Partial Differential Equations.; Numerical Analysis.

The IMA Hot Topics workshop on compatible spatialdiscretizations was held May 11-15, 2004 at the University of Minnesota. The purpose of the workshop was to bring together scientists at the forefront of the research in the numerical solution of PDEs to discuss recent advances and novel applications...

Table of Contents:

• 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
• Defferential 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.