Compatible Spatial Discretizations (IMA Volumes in Mathematics and Its Applications #142)

Description

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.