The Mimetic Finite Difference Method for Elliptic Problems 3319026623, 9783319026626, 9783319026633, 3319026631

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class o

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English Pages 394 [399] Year 2014

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The Mimetic Finite Difference Method for Elliptic Problems
 3319026623, 9783319026626, 9783319026633, 3319026631

Table of contents :
Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Model elliptic problems....Pages 3-40
Foundations of mimetic finite difference method....Pages 41-65
Mimetic inner products and reconstruction operators....Pages 67-89
Mimetic discretization of bilinear forms....Pages 91-113
Front Matter....Pages 115-115
The diffusion problem in mixed form....Pages 117-154
The diffusion problem in primal form....Pages 155-195
Maxwell’s equations....Pages 197-219
The Stokes problem....Pages 221-260
Front Matter....Pages 261-261
Elasticity and plates....Pages 263-287
Other linear and nonlinear mimetic schemes....Pages 289-310
Analysis of parameters and maximum principles....Pages 311-337
Diffusion problem on generalized polyhedral meshes....Pages 339-370
Back Matter....Pages 371-394

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