Compatible Spatial Discretizations

ISBN: 978-0-387-30916-3 (Print) 978-0-387-38034-6 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Chapter

    Pages 1-21

    Numerical Convergence of the MPFA O-Method for General Quadrilateral Grids in Two and Three Dimensions

  3. No Access

    Chapter

    Pages 23-46

    Differential Complexes and Stability of Finite Element Methods I. The de Rham Complex

  4. No Access

    Chapter

    Pages 47-67

    Defferential Complexes and Stability of Finite Element Methods II: The Elasticity Complex

  5. No Access

    Chapter

    Pages 69-88

    On the Role of Involutions in the Discontinuous Galerkin Discretization of Maxwell and Magnetohydrodynamic Systems

  6. No Access

    Chapter

    Pages 89-119

    Principles of Mimetic Discretizations of Differential Operators

  7. No Access

    Chapter

    Pages 121-142

    Compatible Discretizations for Eigenvalue Problems

  8. No Access

    Chapter

    Pages 143-159

    Conjugated Bubnov-Galerkin Infinite Element for Maxwell Equations

  9. No Access

    Chapter

    Pages 161-171

    Covolume Discretization of Differential Forms

  10. No Access

    Chapter

    Pages 173-188

    Mimetic Reconstruction of Vectors

  11. No Access

    Chapter

    Pages 189-207

    A Cell-Centered Finite Difference Method on Quadrilaterals

  12. No Access

    Chapter

    Pages 209-234

    Development and Application of Compatible Discretizations of Maxwell’s Equations

  13. Back Matter

    Pages 235-247