The Mimetic Finite Difference Method for Elliptic Problems (MS&A #11)

The Mimetic Finite Difference Method for Elliptic Problems (MS&A #11)

Lourenco Beirao Da Veiga, Konstantin Lipnikov, Gianmarco Manzini
$131.99
Publication Date: August 27th, 2016
Publisher:
Springer
ISBN:
9783319379005
Pages:
394
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Description

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.

About the Author

The Authors are active researchers in the field of numerical discretizations of partial differential equations. Together and in collaboration with other researchers, they published more than one-hundred papers on ISI ranked journals. Therefore, their expertise spans the formal mathematical analysis of the mimetic discretization methods, the application of this theoretical framework to real scientific and engineering models formulated in the setting of elliptic problems, and the computational properties of the numerical schemes discussed in the book.

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