The Mimetic Finite Difference Method for Elliptic Problems

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretizatio...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Beirao da Veiga, Lourenco (Author), Lipnikov, Konstantin (Author), Manzini, Gianmarco (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:MS&A, Modeling, Simulation and Applications, 11
Subjects:
Mathematics-Data processing.
Mathematical physics.
Differential equations.
Engineering mathematics.
Engineering-Data processing.
Computational Mathematics and Numerical Analysis.
Mathematical Physics.
Differential Equations.
Mathematical and Computational Engineering Applications.
Online Access:Texto Completo
Table of Contents:
  • 1 Model elliptic problems
  • 2 Foundations of mimetic finite difference method
  • 3 Mimetic inner products and reconstruction operators
  • 4 Mimetic discretization of bilinear forms
  • 5 The diffusion problem in mixed form
  • 6 The diffusion problem in primal form
  • 7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates
  • 10 Other linear and nonlinear mimetic schemes
  • 11 Analysis of parameters and maximum principles
  • 12 Diffusion problem on generalized polyhedral meshes.

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